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Finding the Fourth Proportional to 29,245, 40,358.10 and 15,997

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Solution

The fourth proportional to 29,245, 40,358.10 and 15,997 is: 22,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,245 : 40,358.10 = 15,997 : x
  2. Step 2: Convert to fraction form
    29,245/40,358.10 = 15,997/x
  3. Step 3: Cross multiply
    29,245x = 40,358.10 × 15,997
  4. Step 4: Simplify right side
    29,245x = 645,608,525.70
  5. Step 5: Solve for x
    x = 645,608,525.70/29,245
  6. Step 6: Final answer
    x = 22,075.86

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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.