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Finding the Fourth Proportional to 29,049.50, 43,569.69 and 7,991.12

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Solution

The fourth proportional to 29,049.50, 43,569.69 and 7,991.12 is: 11,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,049.50 : 43,569.69 = 7,991.12 : x
  2. Step 2: Convert to fraction form
    29,049.50/43,569.69 = 7,991.12/x
  3. Step 3: Cross multiply
    29,049.50x = 43,569.69 × 7,991.12
  4. Step 4: Simplify right side
    29,049.50x = 348,170,363.35
  5. Step 5: Solve for x
    x = 348,170,363.35/29,049.50
  6. Step 6: Final answer
    x = 11,985.42

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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.