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Finding the Fourth Proportional to 39,418.60, 54,398.82 and 22,657

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Solution

The fourth proportional to 39,418.60, 54,398.82 and 22,657 is: 31,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,418.60 : 54,398.82 = 22,657 : x
  2. Step 2: Convert to fraction form
    39,418.60/54,398.82 = 22,657/x
  3. Step 3: Cross multiply
    39,418.60x = 54,398.82 × 22,657
  4. Step 4: Simplify right side
    39,418.60x = 1,232,514,064.74
  5. Step 5: Solve for x
    x = 1,232,514,064.74/39,418.60
  6. Step 6: Final answer
    x = 31,267.32

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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.