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Finding the Fourth Proportional to 2,576.86, 3,862.13 and 1,475.87

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Solution

The fourth proportional to 2,576.86, 3,862.13 and 1,475.87 is: 2,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.86 : 3,862.13 = 1,475.87 : x
  2. Step 2: Convert to fraction form
    2,576.86/3,862.13 = 1,475.87/x
  3. Step 3: Cross multiply
    2,576.86x = 3,862.13 × 1,475.87
  4. Step 4: Simplify right side
    2,576.86x = 5,699,975.11
  5. Step 5: Solve for x
    x = 5,699,975.11/2,576.86
  6. Step 6: Final answer
    x = 2,211.99

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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.