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Finding the Fourth Proportional to 39,647.78, 54,713.88 and 22,880.78

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Solution

The fourth proportional to 39,647.78, 54,713.88 and 22,880.78 is: 31,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,647.78 : 54,713.88 = 22,880.78 : x
  2. Step 2: Convert to fraction form
    39,647.78/54,713.88 = 22,880.78/x
  3. Step 3: Cross multiply
    39,647.78x = 54,713.88 × 22,880.78
  4. Step 4: Simplify right side
    39,647.78x = 1,251,896,251.23
  5. Step 5: Solve for x
    x = 1,251,896,251.23/39,647.78
  6. Step 6: Final answer
    x = 31,575.44

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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.