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Finding the Fourth Proportional to 39,646.78, 54,712.50 and 22,879.78

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Solution

The fourth proportional to 39,646.78, 54,712.50 and 22,879.78 is: 31,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.78 : 54,712.50 = 22,879.78 : x
  2. Step 2: Convert to fraction form
    39,646.78/54,712.50 = 22,879.78/x
  3. Step 3: Cross multiply
    39,646.78x = 54,712.50 × 22,879.78
  4. Step 4: Simplify right side
    39,646.78x = 1,251,809,963.25
  5. Step 5: Solve for x
    x = 1,251,809,963.25/39,646.78
  6. Step 6: Final answer
    x = 31,574.06

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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.