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Finding the Fourth Proportional to 3,127.56, 4,691.76 and 936

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Solution

The fourth proportional to 3,127.56, 4,691.76 and 936 is: 1,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.56 : 4,691.76 = 936 : x
  2. Step 2: Convert to fraction form
    3,127.56/4,691.76 = 936/x
  3. Step 3: Cross multiply
    3,127.56x = 4,691.76 × 936
  4. Step 4: Simplify right side
    3,127.56x = 4,391,487.36
  5. Step 5: Solve for x
    x = 4,391,487.36/3,127.56
  6. Step 6: Final answer
    x = 1,404.13

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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.