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Finding the Fourth Proportional to 8,429.86, 12,625.08 and 6,663

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Solution

The fourth proportional to 8,429.86, 12,625.08 and 6,663 is: 9,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.86 : 12,625.08 = 6,663 : x
  2. Step 2: Convert to fraction form
    8,429.86/12,625.08 = 6,663/x
  3. Step 3: Cross multiply
    8,429.86x = 12,625.08 × 6,663
  4. Step 4: Simplify right side
    8,429.86x = 84,120,908.04
  5. Step 5: Solve for x
    x = 84,120,908.04/8,429.86
  6. Step 6: Final answer
    x = 9,978.92

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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.