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Finding the Fourth Proportional to 8,238.32, 12,354.93 and 2,972.65

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Solution

The fourth proportional to 8,238.32, 12,354.93 and 2,972.65 is: 4,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.32 : 12,354.93 = 2,972.65 : x
  2. Step 2: Convert to fraction form
    8,238.32/12,354.93 = 2,972.65/x
  3. Step 3: Cross multiply
    8,238.32x = 12,354.93 × 2,972.65
  4. Step 4: Simplify right side
    8,238.32x = 36,726,845.03
  5. Step 5: Solve for x
    x = 36,726,845.03/8,238.32
  6. Step 6: Final answer
    x = 4,458.05

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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.