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Finding the Fourth Proportional to 8,564.29, 12,837.22 and 5,601.61

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Solution

The fourth proportional to 8,564.29, 12,837.22 and 5,601.61 is: 8,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.29 : 12,837.22 = 5,601.61 : x
  2. Step 2: Convert to fraction form
    8,564.29/12,837.22 = 5,601.61/x
  3. Step 3: Cross multiply
    8,564.29x = 12,837.22 × 5,601.61
  4. Step 4: Simplify right side
    8,564.29x = 71,909,071.92
  5. Step 5: Solve for x
    x = 71,909,071.92/8,564.29
  6. Step 6: Final answer
    x = 8,396.39

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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.