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Finding the Fourth Proportional to 2,539.52, 3,807.02 and 895.78

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Solution

The fourth proportional to 2,539.52, 3,807.02 and 895.78 is: 1,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.52 : 3,807.02 = 895.78 : x
  2. Step 2: Convert to fraction form
    2,539.52/3,807.02 = 895.78/x
  3. Step 3: Cross multiply
    2,539.52x = 3,807.02 × 895.78
  4. Step 4: Simplify right side
    2,539.52x = 3,410,252.38
  5. Step 5: Solve for x
    x = 3,410,252.38/2,539.52
  6. Step 6: Final answer
    x = 1,342.87

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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.