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Finding the Fourth Proportional to 15,874.67, 21,910.95 and 9,419.78

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Solution

The fourth proportional to 15,874.67, 21,910.95 and 9,419.78 is: 13,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.67 : 21,910.95 = 9,419.78 : x
  2. Step 2: Convert to fraction form
    15,874.67/21,910.95 = 9,419.78/x
  3. Step 3: Cross multiply
    15,874.67x = 21,910.95 × 9,419.78
  4. Step 4: Simplify right side
    15,874.67x = 206,396,219.04
  5. Step 5: Solve for x
    x = 206,396,219.04/15,874.67
  6. Step 6: Final answer
    x = 13,001.61

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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.