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Finding the Fourth Proportional to 29,047.16, 43,566.17 and 7,988.78

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Solution

The fourth proportional to 29,047.16, 43,566.17 and 7,988.78 is: 11,981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,047.16 : 43,566.17 = 7,988.78 : x
  2. Step 2: Convert to fraction form
    29,047.16/43,566.17 = 7,988.78/x
  3. Step 3: Cross multiply
    29,047.16x = 43,566.17 × 7,988.78
  4. Step 4: Simplify right side
    29,047.16x = 348,040,289.80
  5. Step 5: Solve for x
    x = 348,040,289.80/29,047.16
  6. Step 6: Final answer
    x = 11,981.91

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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.