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Finding the Fourth Proportional to 13,220.75, 18,244.98 and 7,477.74

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Solution

The fourth proportional to 13,220.75, 18,244.98 and 7,477.74 is: 10,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.75 : 18,244.98 = 7,477.74 : x
  2. Step 2: Convert to fraction form
    13,220.75/18,244.98 = 7,477.74/x
  3. Step 3: Cross multiply
    13,220.75x = 18,244.98 × 7,477.74
  4. Step 4: Simplify right side
    13,220.75x = 136,431,144.40
  5. Step 5: Solve for x
    x = 136,431,144.40/13,220.75
  6. Step 6: Final answer
    x = 10,319.47

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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.