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Finding the Fourth Proportional to 30,982.91, 42,757.07 and 18,407.66

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Solution

The fourth proportional to 30,982.91, 42,757.07 and 18,407.66 is: 25,402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.91 : 42,757.07 = 18,407.66 : x
  2. Step 2: Convert to fraction form
    30,982.91/42,757.07 = 18,407.66/x
  3. Step 3: Cross multiply
    30,982.91x = 42,757.07 × 18,407.66
  4. Step 4: Simplify right side
    30,982.91x = 787,057,301.33
  5. Step 5: Solve for x
    x = 787,057,301.33/30,982.91
  6. Step 6: Final answer
    x = 25,402.95

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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.