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Finding the Fourth Proportional to 29,121.80, 43,661.10 and 12,468.20

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Solution

The fourth proportional to 29,121.80, 43,661.10 and 12,468.20 is: 18,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,121.80 : 43,661.10 = 12,468.20 : x
  2. Step 2: Convert to fraction form
    29,121.80/43,661.10 = 12,468.20/x
  3. Step 3: Cross multiply
    29,121.80x = 43,661.10 × 12,468.20
  4. Step 4: Simplify right side
    29,121.80x = 544,375,327.02
  5. Step 5: Solve for x
    x = 544,375,327.02/29,121.80
  6. Step 6: Final answer
    x = 18,693.05

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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.