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Finding the Fourth Proportional to 8,374.13, 12,564.63 and 3,691.65

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Solution

The fourth proportional to 8,374.13, 12,564.63 and 3,691.65 is: 5,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.13 : 12,564.63 = 3,691.65 : x
  2. Step 2: Convert to fraction form
    8,374.13/12,564.63 = 3,691.65/x
  3. Step 3: Cross multiply
    8,374.13x = 12,564.63 × 3,691.65
  4. Step 4: Simplify right side
    8,374.13x = 46,384,216.34
  5. Step 5: Solve for x
    x = 46,384,216.34/8,374.13
  6. Step 6: Final answer
    x = 5,538.99

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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.