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Finding the Fourth Proportional to 39,778.76, 54,894.90 and 21,874.92

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Solution

The fourth proportional to 39,778.76, 54,894.90 and 21,874.92 is: 30,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,778.76 : 54,894.90 = 21,874.92 : x
  2. Step 2: Convert to fraction form
    39,778.76/54,894.90 = 21,874.92/x
  3. Step 3: Cross multiply
    39,778.76x = 54,894.90 × 21,874.92
  4. Step 4: Simplify right side
    39,778.76x = 1,200,821,545.91
  5. Step 5: Solve for x
    x = 1,200,821,545.91/39,778.76
  6. Step 6: Final answer
    x = 30,187.51

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Double scale
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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.