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Finding the Fourth Proportional to 3,689.76, 5,088.24 and 3,129.60

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Solution

The fourth proportional to 3,689.76, 5,088.24 and 3,129.60 is: 4,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.76 : 5,088.24 = 3,129.60 : x
  2. Step 2: Convert to fraction form
    3,689.76/5,088.24 = 3,129.60/x
  3. Step 3: Cross multiply
    3,689.76x = 5,088.24 × 3,129.60
  4. Step 4: Simplify right side
    3,689.76x = 15,924,155.90
  5. Step 5: Solve for x
    x = 15,924,155.90/3,689.76
  6. Step 6: Final answer
    x = 4,315.77

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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.