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Finding the Fourth Proportional to 12,001.86, 17,965.11 and 8,714.07

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Solution

The fourth proportional to 12,001.86, 17,965.11 and 8,714.07 is: 13,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.86 : 17,965.11 = 8,714.07 : x
  2. Step 2: Convert to fraction form
    12,001.86/17,965.11 = 8,714.07/x
  3. Step 3: Cross multiply
    12,001.86x = 17,965.11 × 8,714.07
  4. Step 4: Simplify right side
    12,001.86x = 156,549,226.10
  5. Step 5: Solve for x
    x = 156,549,226.10/12,001.86
  6. Step 6: Final answer
    x = 13,043.75

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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.