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Finding the Fourth Proportional to 39,778.78, 54,894.90 and 21,874.94

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Solution

The fourth proportional to 39,778.78, 54,894.90 and 21,874.94 is: 30,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,778.78 : 54,894.90 = 21,874.94 : x
  2. Step 2: Convert to fraction form
    39,778.78/54,894.90 = 21,874.94/x
  3. Step 3: Cross multiply
    39,778.78x = 54,894.90 × 21,874.94
  4. Step 4: Simplify right side
    39,778.78x = 1,200,822,643.81
  5. Step 5: Solve for x
    x = 1,200,822,643.81/39,778.78
  6. Step 6: Final answer
    x = 30,187.52

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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.