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Finding the Fourth Proportional to 10,608.64, 15,881.28 and 6,436

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Solution

The fourth proportional to 10,608.64, 15,881.28 and 6,436 is: 9,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.64 : 15,881.28 = 6,436 : x
  2. Step 2: Convert to fraction form
    10,608.64/15,881.28 = 6,436/x
  3. Step 3: Cross multiply
    10,608.64x = 15,881.28 × 6,436
  4. Step 4: Simplify right side
    10,608.64x = 102,211,918.08
  5. Step 5: Solve for x
    x = 102,211,918.08/10,608.64
  6. Step 6: Final answer
    x = 9,634.78

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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.