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Finding the Fourth Proportional to 20,411.16, 30,624 and 8,725.28

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Solution

The fourth proportional to 20,411.16, 30,624 and 8,725.28 is: 13,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,411.16 : 30,624 = 8,725.28 : x
  2. Step 2: Convert to fraction form
    20,411.16/30,624 = 8,725.28/x
  3. Step 3: Cross multiply
    20,411.16x = 30,624 × 8,725.28
  4. Step 4: Simplify right side
    20,411.16x = 267,202,974.72
  5. Step 5: Solve for x
    x = 267,202,974.72/20,411.16
  6. Step 6: Final answer
    x = 13,091.02

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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.