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Finding the Fourth Proportional to 22,375.76, 30,825.12 and 15,648.80

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Solution

The fourth proportional to 22,375.76, 30,825.12 and 15,648.80 is: 21,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,375.76 : 30,825.12 = 15,648.80 : x
  2. Step 2: Convert to fraction form
    22,375.76/30,825.12 = 15,648.80/x
  3. Step 3: Cross multiply
    22,375.76x = 30,825.12 × 15,648.80
  4. Step 4: Simplify right side
    22,375.76x = 482,376,137.86
  5. Step 5: Solve for x
    x = 482,376,137.86/22,375.76
  6. Step 6: Final answer
    x = 21,557.98

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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.