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Finding the Fourth Proportional to 10,871.32, 15,010.02 and 6,839.94

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Solution

The fourth proportional to 10,871.32, 15,010.02 and 6,839.94 is: 9,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.32 : 15,010.02 = 6,839.94 : x
  2. Step 2: Convert to fraction form
    10,871.32/15,010.02 = 6,839.94/x
  3. Step 3: Cross multiply
    10,871.32x = 15,010.02 × 6,839.94
  4. Step 4: Simplify right side
    10,871.32x = 102,667,636.20
  5. Step 5: Solve for x
    x = 102,667,636.20/10,871.32
  6. Step 6: Final answer
    x = 9,443.90

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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.