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Finding the Fourth Proportional to 13,130.70, 18,119.70 and 7,162.32

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Solution

The fourth proportional to 13,130.70, 18,119.70 and 7,162.32 is: 9,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.70 : 18,119.70 = 7,162.32 : x
  2. Step 2: Convert to fraction form
    13,130.70/18,119.70 = 7,162.32/x
  3. Step 3: Cross multiply
    13,130.70x = 18,119.70 × 7,162.32
  4. Step 4: Simplify right side
    13,130.70x = 129,779,089.70
  5. Step 5: Solve for x
    x = 129,779,089.70/13,130.70
  6. Step 6: Final answer
    x = 9,883.64

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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.