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Finding the Fourth Proportional to 10,871.28, 16,307.28 and 6,664.32

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Solution

The fourth proportional to 10,871.28, 16,307.28 and 6,664.32 is: 9,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.28 : 16,307.28 = 6,664.32 : x
  2. Step 2: Convert to fraction form
    10,871.28/16,307.28 = 6,664.32/x
  3. Step 3: Cross multiply
    10,871.28x = 16,307.28 × 6,664.32
  4. Step 4: Simplify right side
    10,871.28x = 108,676,932.25
  5. Step 5: Solve for x
    x = 108,676,932.25/10,871.28
  6. Step 6: Final answer
    x = 9,996.70

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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.