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Finding the Fourth Proportional to 2,513.88, 3,769.92 and 869.99

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Solution

The fourth proportional to 2,513.88, 3,769.92 and 869.99 is: 1,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.88 : 3,769.92 = 869.99 : x
  2. Step 2: Convert to fraction form
    2,513.88/3,769.92 = 869.99/x
  3. Step 3: Cross multiply
    2,513.88x = 3,769.92 × 869.99
  4. Step 4: Simplify right side
    2,513.88x = 3,279,773.85
  5. Step 5: Solve for x
    x = 3,279,773.85/2,513.88
  6. Step 6: Final answer
    x = 1,304.67

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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.