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Finding the Fourth Proportional to 5,387, 7,434.15 and 3,524

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Solution

The fourth proportional to 5,387, 7,434.15 and 3,524 is: 4,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387 : 7,434.15 = 3,524 : x
  2. Step 2: Convert to fraction form
    5,387/7,434.15 = 3,524/x
  3. Step 3: Cross multiply
    5,387x = 7,434.15 × 3,524
  4. Step 4: Simplify right side
    5,387x = 26,197,944.60
  5. Step 5: Solve for x
    x = 26,197,944.60/5,387
  6. Step 6: Final answer
    x = 4,863.18

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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.