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Finding the Fourth Proportional to 5,291.78, 7,938.90 and 2,825.30

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Solution

The fourth proportional to 5,291.78, 7,938.90 and 2,825.30 is: 4,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.78 : 7,938.90 = 2,825.30 : x
  2. Step 2: Convert to fraction form
    5,291.78/7,938.90 = 2,825.30/x
  3. Step 3: Cross multiply
    5,291.78x = 7,938.90 × 2,825.30
  4. Step 4: Simplify right side
    5,291.78x = 22,429,774.17
  5. Step 5: Solve for x
    x = 22,429,774.17/5,291.78
  6. Step 6: Final answer
    x = 4,238.61

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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.