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Finding the Fourth Proportional to 29,225, 40,331.14 and 15,977

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Solution

The fourth proportional to 29,225, 40,331.14 and 15,977 is: 22,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,225 : 40,331.14 = 15,977 : x
  2. Step 2: Convert to fraction form
    29,225/40,331.14 = 15,977/x
  3. Step 3: Cross multiply
    29,225x = 40,331.14 × 15,977
  4. Step 4: Simplify right side
    29,225x = 644,370,623.78
  5. Step 5: Solve for x
    x = 644,370,623.78/29,225
  6. Step 6: Final answer
    x = 22,048.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.