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Finding the Fourth Proportional to 28,242.28, 42,363.72 and 8,521

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Solution

The fourth proportional to 28,242.28, 42,363.72 and 8,521 is: 12,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242.28 : 42,363.72 = 8,521 : x
  2. Step 2: Convert to fraction form
    28,242.28/42,363.72 = 8,521/x
  3. Step 3: Cross multiply
    28,242.28x = 42,363.72 × 8,521
  4. Step 4: Simplify right side
    28,242.28x = 360,981,258.12
  5. Step 5: Solve for x
    x = 360,981,258.12/28,242.28
  6. Step 6: Final answer
    x = 12,781.59

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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.