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Finding the Fourth Proportional to 29,668.13, 40,942.02 and 16,420.13

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Solution

The fourth proportional to 29,668.13, 40,942.02 and 16,420.13 is: 22,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,668.13 : 40,942.02 = 16,420.13 : x
  2. Step 2: Convert to fraction form
    29,668.13/40,942.02 = 16,420.13/x
  3. Step 3: Cross multiply
    29,668.13x = 40,942.02 × 16,420.13
  4. Step 4: Simplify right side
    29,668.13x = 672,273,086.15
  5. Step 5: Solve for x
    x = 672,273,086.15/29,668.13
  6. Step 6: Final answer
    x = 22,659.78

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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.