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Finding the Fourth Proportional to 5,245.34, 7,867.98 and 1,349.78

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Solution

The fourth proportional to 5,245.34, 7,867.98 and 1,349.78 is: 2,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.34 : 7,867.98 = 1,349.78 : x
  2. Step 2: Convert to fraction form
    5,245.34/7,867.98 = 1,349.78/x
  3. Step 3: Cross multiply
    5,245.34x = 7,867.98 × 1,349.78
  4. Step 4: Simplify right side
    5,245.34x = 10,620,002.70
  5. Step 5: Solve for x
    x = 10,620,002.70/5,245.34
  6. Step 6: Final answer
    x = 2,024.66

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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.