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Finding the Fourth Proportional to 5,261.89, 7,891.45 and 2,487.82

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Solution

The fourth proportional to 5,261.89, 7,891.45 and 2,487.82 is: 3,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.89 : 7,891.45 = 2,487.82 : x
  2. Step 2: Convert to fraction form
    5,261.89/7,891.45 = 2,487.82/x
  3. Step 3: Cross multiply
    5,261.89x = 7,891.45 × 2,487.82
  4. Step 4: Simplify right side
    5,261.89x = 19,632,507.14
  5. Step 5: Solve for x
    x = 19,632,507.14/5,261.89
  6. Step 6: Final answer
    x = 3,731.08

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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.