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Finding the Fourth Proportional to 38,458.90, 57,714.15 and 13,498.90

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Solution

The fourth proportional to 38,458.90, 57,714.15 and 13,498.90 is: 20,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458.90 : 57,714.15 = 13,498.90 : x
  2. Step 2: Convert to fraction form
    38,458.90/57,714.15 = 13,498.90/x
  3. Step 3: Cross multiply
    38,458.90x = 57,714.15 × 13,498.90
  4. Step 4: Simplify right side
    38,458.90x = 779,077,539.44
  5. Step 5: Solve for x
    x = 779,077,539.44/38,458.90
  6. Step 6: Final answer
    x = 20,257.41

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