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Finding the Fourth Proportional to 2,709.52, 4,064.42 and 761.88

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Solution

The fourth proportional to 2,709.52, 4,064.42 and 761.88 is: 1,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.52 : 4,064.42 = 761.88 : x
  2. Step 2: Convert to fraction form
    2,709.52/4,064.42 = 761.88/x
  3. Step 3: Cross multiply
    2,709.52x = 4,064.42 × 761.88
  4. Step 4: Simplify right side
    2,709.52x = 3,096,576.18
  5. Step 5: Solve for x
    x = 3,096,576.18/2,709.52
  6. Step 6: Final answer
    x = 1,142.85

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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.