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Finding the Fourth Proportional to 22,448.97, 30,978.99 and 12,377.18

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Solution

The fourth proportional to 22,448.97, 30,978.99 and 12,377.18 is: 17,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.97 : 30,978.99 = 12,377.18 : x
  2. Step 2: Convert to fraction form
    22,448.97/30,978.99 = 12,377.18/x
  3. Step 3: Cross multiply
    22,448.97x = 30,978.99 × 12,377.18
  4. Step 4: Simplify right side
    22,448.97x = 383,432,380.55
  5. Step 5: Solve for x
    x = 383,432,380.55/22,448.97
  6. Step 6: Final answer
    x = 17,080.18

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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.