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Finding the Fourth Proportional to 5,115.55, 7,672.21 and 1,828.87

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Solution

The fourth proportional to 5,115.55, 7,672.21 and 1,828.87 is: 2,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.55 : 7,672.21 = 1,828.87 : x
  2. Step 2: Convert to fraction form
    5,115.55/7,672.21 = 1,828.87/x
  3. Step 3: Cross multiply
    5,115.55x = 7,672.21 × 1,828.87
  4. Step 4: Simplify right side
    5,115.55x = 14,031,474.70
  5. Step 5: Solve for x
    x = 14,031,474.70/5,115.55
  6. Step 6: Final answer
    x = 2,742.91

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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.