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Finding the Fourth Proportional to 38,476.60, 57,714.90 and 30,603.40

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Solution

The fourth proportional to 38,476.60, 57,714.90 and 30,603.40 is: 45,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.60 : 57,714.90 = 30,603.40 : x
  2. Step 2: Convert to fraction form
    38,476.60/57,714.90 = 30,603.40/x
  3. Step 3: Cross multiply
    38,476.60x = 57,714.90 × 30,603.40
  4. Step 4: Simplify right side
    38,476.60x = 1,766,272,170.66
  5. Step 5: Solve for x
    x = 1,766,272,170.66/38,476.60
  6. Step 6: Final answer
    x = 45,905.10

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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.