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Finding the Fourth Proportional to 3,390.26, 5,084.87 and 925.28

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Solution

The fourth proportional to 3,390.26, 5,084.87 and 925.28 is: 1,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.26 : 5,084.87 = 925.28 : x
  2. Step 2: Convert to fraction form
    3,390.26/5,084.87 = 925.28/x
  3. Step 3: Cross multiply
    3,390.26x = 5,084.87 × 925.28
  4. Step 4: Simplify right side
    3,390.26x = 4,704,898.46
  5. Step 5: Solve for x
    x = 4,704,898.46/3,390.26
  6. Step 6: Final answer
    x = 1,387.77

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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.