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Finding the Fourth Proportional to 8,633.61, 12,921.26 and 5,349.47

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Solution

The fourth proportional to 8,633.61, 12,921.26 and 5,349.47 is: 8,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.61 : 12,921.26 = 5,349.47 : x
  2. Step 2: Convert to fraction form
    8,633.61/12,921.26 = 5,349.47/x
  3. Step 3: Cross multiply
    8,633.61x = 12,921.26 × 5,349.47
  4. Step 4: Simplify right side
    8,633.61x = 69,121,801.38
  5. Step 5: Solve for x
    x = 69,121,801.38/8,633.61
  6. Step 6: Final answer
    x = 8,006.13

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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.