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Finding the Fourth Proportional to 13,735.71, 20,612.02 and 5,414.31

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Solution

The fourth proportional to 13,735.71, 20,612.02 and 5,414.31 is: 8,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.71 : 20,612.02 = 5,414.31 : x
  2. Step 2: Convert to fraction form
    13,735.71/20,612.02 = 5,414.31/x
  3. Step 3: Cross multiply
    13,735.71x = 20,612.02 × 5,414.31
  4. Step 4: Simplify right side
    13,735.71x = 111,599,749.41
  5. Step 5: Solve for x
    x = 111,599,749.41/13,735.71
  6. Step 6: Final answer
    x = 8,124.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.