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Finding the Fourth Proportional to 8,666.34, 12,997.80 and 3,985.08

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Solution

The fourth proportional to 8,666.34, 12,997.80 and 3,985.08 is: 5,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.34 : 12,997.80 = 3,985.08 : x
  2. Step 2: Convert to fraction form
    8,666.34/12,997.80 = 3,985.08/x
  3. Step 3: Cross multiply
    8,666.34x = 12,997.80 × 3,985.08
  4. Step 4: Simplify right side
    8,666.34x = 51,797,272.82
  5. Step 5: Solve for x
    x = 51,797,272.82/8,666.34
  6. Step 6: Final answer
    x = 5,976.83

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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.