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Finding the Fourth Proportional to 38,694, 53,402.76 and 22,779.92

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Solution

The fourth proportional to 38,694, 53,402.76 and 22,779.92 is: 31,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,694 : 53,402.76 = 22,779.92 : x
  2. Step 2: Convert to fraction form
    38,694/53,402.76 = 22,779.92/x
  3. Step 3: Cross multiply
    38,694x = 53,402.76 × 22,779.92
  4. Step 4: Simplify right side
    38,694x = 1,216,510,600.58
  5. Step 5: Solve for x
    x = 1,216,510,600.58/38,694
  6. Step 6: Final answer
    x = 31,439.26

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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.