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Finding the Fourth Proportional to 3,807.81, 5,711.56 and 1,342.65

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Solution

The fourth proportional to 3,807.81, 5,711.56 and 1,342.65 is: 2,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.81 : 5,711.56 = 1,342.65 : x
  2. Step 2: Convert to fraction form
    3,807.81/5,711.56 = 1,342.65/x
  3. Step 3: Cross multiply
    3,807.81x = 5,711.56 × 1,342.65
  4. Step 4: Simplify right side
    3,807.81x = 7,668,635.58
  5. Step 5: Solve for x
    x = 7,668,635.58/3,807.81
  6. Step 6: Final answer
    x = 2,013.92

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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.