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Finding the Fourth Proportional to 5,245.31, 7,868.00 and 1,349.75

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Solution

The fourth proportional to 5,245.31, 7,868.00 and 1,349.75 is: 2,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.31 : 7,868.00 = 1,349.75 : x
  2. Step 2: Convert to fraction form
    5,245.31/7,868.00 = 1,349.75/x
  3. Step 3: Cross multiply
    5,245.31x = 7,868.00 × 1,349.75
  4. Step 4: Simplify right side
    5,245.31x = 10,619,856.04
  5. Step 5: Solve for x
    x = 10,619,856.04/5,245.31
  6. Step 6: Final answer
    x = 2,024.64

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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.