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Finding the Fourth Proportional to 5,077.52, 7,007.28 and 2,982.32

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Solution

The fourth proportional to 5,077.52, 7,007.28 and 2,982.32 is: 4,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.52 : 7,007.28 = 2,982.32 : x
  2. Step 2: Convert to fraction form
    5,077.52/7,007.28 = 2,982.32/x
  3. Step 3: Cross multiply
    5,077.52x = 7,007.28 × 2,982.32
  4. Step 4: Simplify right side
    5,077.52x = 20,897,951.29
  5. Step 5: Solve for x
    x = 20,897,951.29/5,077.52
  6. Step 6: Final answer
    x = 4,115.78

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1.5x scale

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.