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Finding the Fourth Proportional to 5,257.51, 7,882.11 and 2,918.30

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Solution

The fourth proportional to 5,257.51, 7,882.11 and 2,918.30 is: 4,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.51 : 7,882.11 = 2,918.30 : x
  2. Step 2: Convert to fraction form
    5,257.51/7,882.11 = 2,918.30/x
  3. Step 3: Cross multiply
    5,257.51x = 7,882.11 × 2,918.30
  4. Step 4: Simplify right side
    5,257.51x = 23,002,322.20
  5. Step 5: Solve for x
    x = 23,002,322.20/5,257.51
  6. Step 6: Final answer
    x = 4,375.14

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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.