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Finding the Fourth Proportional to 8,291.62, 12,438.69 and 2,448.46

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Solution

The fourth proportional to 8,291.62, 12,438.69 and 2,448.46 is: 3,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.62 : 12,438.69 = 2,448.46 : x
  2. Step 2: Convert to fraction form
    8,291.62/12,438.69 = 2,448.46/x
  3. Step 3: Cross multiply
    8,291.62x = 12,438.69 × 2,448.46
  4. Step 4: Simplify right side
    8,291.62x = 30,455,634.92
  5. Step 5: Solve for x
    x = 30,455,634.92/8,291.62
  6. Step 6: Final answer
    x = 3,673.06

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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.