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Finding the Fourth Proportional to 31,149.01, 42,984.03 and 16,999.12

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Solution

The fourth proportional to 31,149.01, 42,984.03 and 16,999.12 is: 23,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.01 : 42,984.03 = 16,999.12 : x
  2. Step 2: Convert to fraction form
    31,149.01/42,984.03 = 16,999.12/x
  3. Step 3: Cross multiply
    31,149.01x = 42,984.03 × 16,999.12
  4. Step 4: Simplify right side
    31,149.01x = 730,690,684.05
  5. Step 5: Solve for x
    x = 730,690,684.05/31,149.01
  6. Step 6: Final answer
    x = 23,457.91

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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.