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Finding the Fourth Proportional to 5,251.54, 7,872.44 and 1,962.13

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Solution

The fourth proportional to 5,251.54, 7,872.44 and 1,962.13 is: 2,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.54 : 7,872.44 = 1,962.13 : x
  2. Step 2: Convert to fraction form
    5,251.54/7,872.44 = 1,962.13/x
  3. Step 3: Cross multiply
    5,251.54x = 7,872.44 × 1,962.13
  4. Step 4: Simplify right side
    5,251.54x = 15,446,755.60
  5. Step 5: Solve for x
    x = 15,446,755.60/5,251.54
  6. Step 6: Final answer
    x = 2,941.38

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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.