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Finding the Fourth Proportional to 29,781.76, 44,643.12 and 12,227.20

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Solution

The fourth proportional to 29,781.76, 44,643.12 and 12,227.20 is: 18,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781.76 : 44,643.12 = 12,227.20 : x
  2. Step 2: Convert to fraction form
    29,781.76/44,643.12 = 12,227.20/x
  3. Step 3: Cross multiply
    29,781.76x = 44,643.12 × 12,227.20
  4. Step 4: Simplify right side
    29,781.76x = 545,860,356.86
  5. Step 5: Solve for x
    x = 545,860,356.86/29,781.76
  6. Step 6: Final answer
    x = 18,328.68

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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.