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Finding the Fourth Proportional to 3,807.66, 5,708.91 and 1,342.16

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Solution

The fourth proportional to 3,807.66, 5,708.91 and 1,342.16 is: 2,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.66 : 5,708.91 = 1,342.16 : x
  2. Step 2: Convert to fraction form
    3,807.66/5,708.91 = 1,342.16/x
  3. Step 3: Cross multiply
    3,807.66x = 5,708.91 × 1,342.16
  4. Step 4: Simplify right side
    3,807.66x = 7,662,270.65
  5. Step 5: Solve for x
    x = 7,662,270.65/3,807.66
  6. Step 6: Final answer
    x = 2,012.33

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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.