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Finding the Fourth Proportional to 38,394.82, 57,600.06 and 21,762.28

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Solution

The fourth proportional to 38,394.82, 57,600.06 and 21,762.28 is: 32,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394.82 : 57,600.06 = 21,762.28 : x
  2. Step 2: Convert to fraction form
    38,394.82/57,600.06 = 21,762.28/x
  3. Step 3: Cross multiply
    38,394.82x = 57,600.06 × 21,762.28
  4. Step 4: Simplify right side
    38,394.82x = 1,253,508,489.74
  5. Step 5: Solve for x
    x = 1,253,508,489.74/38,394.82
  6. Step 6: Final answer
    x = 32,647.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.