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Finding the Fourth Proportional to 8,314.69, 12,470.19 and 2,390.25

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Solution

The fourth proportional to 8,314.69, 12,470.19 and 2,390.25 is: 3,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.69 : 12,470.19 = 2,390.25 : x
  2. Step 2: Convert to fraction form
    8,314.69/12,470.19 = 2,390.25/x
  3. Step 3: Cross multiply
    8,314.69x = 12,470.19 × 2,390.25
  4. Step 4: Simplify right side
    8,314.69x = 29,806,897.47
  5. Step 5: Solve for x
    x = 29,806,897.47/8,314.69
  6. Step 6: Final answer
    x = 3,584.85

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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.