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Finding the Fourth Proportional to 10,606, 14,640.20 and 9,107.88

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Solution

The fourth proportional to 10,606, 14,640.20 and 9,107.88 is: 12,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606 : 14,640.20 = 9,107.88 : x
  2. Step 2: Convert to fraction form
    10,606/14,640.20 = 9,107.88/x
  3. Step 3: Cross multiply
    10,606x = 14,640.20 × 9,107.88
  4. Step 4: Simplify right side
    10,606x = 133,341,184.78
  5. Step 5: Solve for x
    x = 133,341,184.78/10,606
  6. Step 6: Final answer
    x = 12,572.24

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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.