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Finding the Fourth Proportional to 22,449.17, 30,978.45 and 12,377.72

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Solution

The fourth proportional to 22,449.17, 30,978.45 and 12,377.72 is: 17,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449.17 : 30,978.45 = 12,377.72 : x
  2. Step 2: Convert to fraction form
    22,449.17/30,978.45 = 12,377.72/x
  3. Step 3: Cross multiply
    22,449.17x = 30,978.45 × 12,377.72
  4. Step 4: Simplify right side
    22,449.17x = 383,442,425.24
  5. Step 5: Solve for x
    x = 383,442,425.24/22,449.17
  6. Step 6: Final answer
    x = 17,080.48

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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.