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Finding the Fourth Proportional to 5,248.56, 7,872.54 and 1,961.40

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Solution

The fourth proportional to 5,248.56, 7,872.54 and 1,961.40 is: 2,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.56 : 7,872.54 = 1,961.40 : x
  2. Step 2: Convert to fraction form
    5,248.56/7,872.54 = 1,961.40/x
  3. Step 3: Cross multiply
    5,248.56x = 7,872.54 × 1,961.40
  4. Step 4: Simplify right side
    5,248.56x = 15,441,199.96
  5. Step 5: Solve for x
    x = 15,441,199.96/5,248.56
  6. Step 6: Final answer
    x = 2,941.99

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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.