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Finding the Fourth Proportional to 13,191.44, 18,195.78 and 9,211.10

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Solution

The fourth proportional to 13,191.44, 18,195.78 and 9,211.10 is: 12,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.44 : 18,195.78 = 9,211.10 : x
  2. Step 2: Convert to fraction form
    13,191.44/18,195.78 = 9,211.10/x
  3. Step 3: Cross multiply
    13,191.44x = 18,195.78 × 9,211.10
  4. Step 4: Simplify right side
    13,191.44x = 167,603,149.16
  5. Step 5: Solve for x
    x = 167,603,149.16/13,191.44
  6. Step 6: Final answer
    x = 12,705.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.