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Finding the Fourth Proportional to 29,165.40, 40,234.50 and 17,220.78

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Solution

The fourth proportional to 29,165.40, 40,234.50 and 17,220.78 is: 23,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,165.40 : 40,234.50 = 17,220.78 : x
  2. Step 2: Convert to fraction form
    29,165.40/40,234.50 = 17,220.78/x
  3. Step 3: Cross multiply
    29,165.40x = 40,234.50 × 17,220.78
  4. Step 4: Simplify right side
    29,165.40x = 692,869,472.91
  5. Step 5: Solve for x
    x = 692,869,472.91/29,165.40
  6. Step 6: Final answer
    x = 23,756.56

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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.