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Finding the Fourth Proportional to 5,251.22, 7,876.12 and 1,553.84

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Solution

The fourth proportional to 5,251.22, 7,876.12 and 1,553.84 is: 2,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.22 : 7,876.12 = 1,553.84 : x
  2. Step 2: Convert to fraction form
    5,251.22/7,876.12 = 1,553.84/x
  3. Step 3: Cross multiply
    5,251.22x = 7,876.12 × 1,553.84
  4. Step 4: Simplify right side
    5,251.22x = 12,238,230.30
  5. Step 5: Solve for x
    x = 12,238,230.30/5,251.22
  6. Step 6: Final answer
    x = 2,330.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.