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Finding the Fourth Proportional to 3,807.72, 5,269 and 3,247.28

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Solution

The fourth proportional to 3,807.72, 5,269 and 3,247.28 is: 4,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.72 : 5,269 = 3,247.28 : x
  2. Step 2: Convert to fraction form
    3,807.72/5,269 = 3,247.28/x
  3. Step 3: Cross multiply
    3,807.72x = 5,269 × 3,247.28
  4. Step 4: Simplify right side
    3,807.72x = 17,109,918.32
  5. Step 5: Solve for x
    x = 17,109,918.32/3,807.72
  6. Step 6: Final answer
    x = 4,493.48

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1.5x scale

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.