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Finding the Fourth Proportional to 10,640.82, 15,874.20 and 9,885.70

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Solution

The fourth proportional to 10,640.82, 15,874.20 and 9,885.70 is: 14,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.82 : 15,874.20 = 9,885.70 : x
  2. Step 2: Convert to fraction form
    10,640.82/15,874.20 = 9,885.70/x
  3. Step 3: Cross multiply
    10,640.82x = 15,874.20 × 9,885.70
  4. Step 4: Simplify right side
    10,640.82x = 156,927,537.29
  5. Step 5: Solve for x
    x = 156,927,537.29/10,640.82
  6. Step 6: Final answer
    x = 14,747.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.