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Finding the Fourth Proportional to 11,747.80, 17,624.10 and 3,957.40

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Solution

The fourth proportional to 11,747.80, 17,624.10 and 3,957.40 is: 5,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.80 : 17,624.10 = 3,957.40 : x
  2. Step 2: Convert to fraction form
    11,747.80/17,624.10 = 3,957.40/x
  3. Step 3: Cross multiply
    11,747.80x = 17,624.10 × 3,957.40
  4. Step 4: Simplify right side
    11,747.80x = 69,745,613.34
  5. Step 5: Solve for x
    x = 69,745,613.34/11,747.80
  6. Step 6: Final answer
    x = 5,936.91

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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.