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Finding the Fourth Proportional to 52,084, 71,876.20 and 28,210.74

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Solution

The fourth proportional to 52,084, 71,876.20 and 28,210.74 is: 38,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,084 : 71,876.20 = 28,210.74 : x
  2. Step 2: Convert to fraction form
    52,084/71,876.20 = 28,210.74/x
  3. Step 3: Cross multiply
    52,084x = 71,876.20 × 28,210.74
  4. Step 4: Simplify right side
    52,084x = 2,027,680,790.39
  5. Step 5: Solve for x
    x = 2,027,680,790.39/52,084
  6. Step 6: Final answer
    x = 38,930.97

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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.