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Finding the Fourth Proportional to 8,714.70, 12,023.37 and 5,175.90

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Solution

The fourth proportional to 8,714.70, 12,023.37 and 5,175.90 is: 7,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.70 : 12,023.37 = 5,175.90 : x
  2. Step 2: Convert to fraction form
    8,714.70/12,023.37 = 5,175.90/x
  3. Step 3: Cross multiply
    8,714.70x = 12,023.37 × 5,175.90
  4. Step 4: Simplify right side
    8,714.70x = 62,231,760.78
  5. Step 5: Solve for x
    x = 62,231,760.78/8,714.70
  6. Step 6: Final answer
    x = 7,141.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.