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Finding the Fourth Proportional to 29,189.40, 40,311.90 and 22,947.48

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Solution

The fourth proportional to 29,189.40, 40,311.90 and 22,947.48 is: 31,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189.40 : 40,311.90 = 22,947.48 : x
  2. Step 2: Convert to fraction form
    29,189.40/40,311.90 = 22,947.48/x
  3. Step 3: Cross multiply
    29,189.40x = 40,311.90 × 22,947.48
  4. Step 4: Simplify right side
    29,189.40x = 925,056,519.01
  5. Step 5: Solve for x
    x = 925,056,519.01/29,189.40
  6. Step 6: Final answer
    x = 31,691.52

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1.5x scale

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.