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Finding the Fourth Proportional to 8,449.92, 12,666.36 and 4,065

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Solution

The fourth proportional to 8,449.92, 12,666.36 and 4,065 is: 6,093.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.92 : 12,666.36 = 4,065 : x
  2. Step 2: Convert to fraction form
    8,449.92/12,666.36 = 4,065/x
  3. Step 3: Cross multiply
    8,449.92x = 12,666.36 × 4,065
  4. Step 4: Simplify right side
    8,449.92x = 51,488,753.40
  5. Step 5: Solve for x
    x = 51,488,753.40/8,449.92
  6. Step 6: Final answer
    x = 6,093.40

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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.