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Finding the Fourth Proportional to 8,651.68, 12,978.24 and 3,721.44

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Solution

The fourth proportional to 8,651.68, 12,978.24 and 3,721.44 is: 5,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.68 : 12,978.24 = 3,721.44 : x
  2. Step 2: Convert to fraction form
    8,651.68/12,978.24 = 3,721.44/x
  3. Step 3: Cross multiply
    8,651.68x = 12,978.24 × 3,721.44
  4. Step 4: Simplify right side
    8,651.68x = 48,297,741.47
  5. Step 5: Solve for x
    x = 48,297,741.47/8,651.68
  6. Step 6: Final answer
    x = 5,582.47

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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.