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Finding the Fourth Proportional to 31,008.84, 42,791.04 and 16,861.20

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Solution

The fourth proportional to 31,008.84, 42,791.04 and 16,861.20 is: 23,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008.84 : 42,791.04 = 16,861.20 : x
  2. Step 2: Convert to fraction form
    31,008.84/42,791.04 = 16,861.20/x
  3. Step 3: Cross multiply
    31,008.84x = 42,791.04 × 16,861.20
  4. Step 4: Simplify right side
    31,008.84x = 721,508,283.65
  5. Step 5: Solve for x
    x = 721,508,283.65/31,008.84
  6. Step 6: Final answer
    x = 23,267.83

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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.