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Finding the Fourth Proportional to 5,264.78, 7,892.51 and 2,147.39

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Solution

The fourth proportional to 5,264.78, 7,892.51 and 2,147.39 is: 3,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.78 : 7,892.51 = 2,147.39 : x
  2. Step 2: Convert to fraction form
    5,264.78/7,892.51 = 2,147.39/x
  3. Step 3: Cross multiply
    5,264.78x = 7,892.51 × 2,147.39
  4. Step 4: Simplify right side
    5,264.78x = 16,948,326.18
  5. Step 5: Solve for x
    x = 16,948,326.18/5,264.78
  6. Step 6: Final answer
    x = 3,219.19

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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.