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Finding the Fourth Proportional to 8,608.63, 12,909.84 and 3,678.61

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Solution

The fourth proportional to 8,608.63, 12,909.84 and 3,678.61 is: 5,516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,608.63 : 12,909.84 = 3,678.61 : x
  2. Step 2: Convert to fraction form
    8,608.63/12,909.84 = 3,678.61/x
  3. Step 3: Cross multiply
    8,608.63x = 12,909.84 × 3,678.61
  4. Step 4: Simplify right side
    8,608.63x = 47,490,266.52
  5. Step 5: Solve for x
    x = 47,490,266.52/8,608.63
  6. Step 6: Final answer
    x = 5,516.59

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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.