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Finding the Fourth Proportional to 3,807.75, 5,255.65 and 3,048.57

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Solution

The fourth proportional to 3,807.75, 5,255.65 and 3,048.57 is: 4,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.75 : 5,255.65 = 3,048.57 : x
  2. Step 2: Convert to fraction form
    3,807.75/5,255.65 = 3,048.57/x
  3. Step 3: Cross multiply
    3,807.75x = 5,255.65 × 3,048.57
  4. Step 4: Simplify right side
    3,807.75x = 16,022,196.16
  5. Step 5: Solve for x
    x = 16,022,196.16/3,807.75
  6. Step 6: Final answer
    x = 4,207.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.