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Finding the Fourth Proportional to 10,666.32, 15,966 and 7,743.84

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Solution

The fourth proportional to 10,666.32, 15,966 and 7,743.84 is: 11,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.32 : 15,966 = 7,743.84 : x
  2. Step 2: Convert to fraction form
    10,666.32/15,966 = 7,743.84/x
  3. Step 3: Cross multiply
    10,666.32x = 15,966 × 7,743.84
  4. Step 4: Simplify right side
    10,666.32x = 123,638,149.44
  5. Step 5: Solve for x
    x = 123,638,149.44/10,666.32
  6. Step 6: Final answer
    x = 11,591.45

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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.