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Finding the Fourth Proportional to 8,259, 12,386.07 and 2,414.22

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Solution

The fourth proportional to 8,259, 12,386.07 and 2,414.22 is: 3,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259 : 12,386.07 = 2,414.22 : x
  2. Step 2: Convert to fraction form
    8,259/12,386.07 = 2,414.22/x
  3. Step 3: Cross multiply
    8,259x = 12,386.07 × 2,414.22
  4. Step 4: Simplify right side
    8,259x = 29,902,697.92
  5. Step 5: Solve for x
    x = 29,902,697.92/8,259
  6. Step 6: Final answer
    x = 3,620.62

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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.