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Finding the Fourth Proportional to 5,318.90, 7,978.88 and 2,034.75

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Solution

The fourth proportional to 5,318.90, 7,978.88 and 2,034.75 is: 3,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.90 : 7,978.88 = 2,034.75 : x
  2. Step 2: Convert to fraction form
    5,318.90/7,978.88 = 2,034.75/x
  3. Step 3: Cross multiply
    5,318.90x = 7,978.88 × 2,034.75
  4. Step 4: Simplify right side
    5,318.90x = 16,235,015.91
  5. Step 5: Solve for x
    x = 16,235,015.91/5,318.90
  6. Step 6: Final answer
    x = 3,052.33

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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.