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Finding the Fourth Proportional to 38,641.76, 57,965.28 and 12,348.44

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Solution

The fourth proportional to 38,641.76, 57,965.28 and 12,348.44 is: 18,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,641.76 : 57,965.28 = 12,348.44 : x
  2. Step 2: Convert to fraction form
    38,641.76/57,965.28 = 12,348.44/x
  3. Step 3: Cross multiply
    38,641.76x = 57,965.28 × 12,348.44
  4. Step 4: Simplify right side
    38,641.76x = 715,780,782.16
  5. Step 5: Solve for x
    x = 715,780,782.16/38,641.76
  6. Step 6: Final answer
    x = 18,523.50

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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.