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Finding the Fourth Proportional to 10,522.52, 15,780.64 and 8,669.04

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Solution

The fourth proportional to 10,522.52, 15,780.64 and 8,669.04 is: 13,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.52 : 15,780.64 = 8,669.04 : x
  2. Step 2: Convert to fraction form
    10,522.52/15,780.64 = 8,669.04/x
  3. Step 3: Cross multiply
    10,522.52x = 15,780.64 × 8,669.04
  4. Step 4: Simplify right side
    10,522.52x = 136,802,999.39
  5. Step 5: Solve for x
    x = 136,802,999.39/10,522.52
  6. Step 6: Final answer
    x = 13,000.97

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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.