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Finding the Fourth Proportional to 3,967.20, 5,472 and 2,393.28

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Solution

The fourth proportional to 3,967.20, 5,472 and 2,393.28 is: 3,301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.20 : 5,472 = 2,393.28 : x
  2. Step 2: Convert to fraction form
    3,967.20/5,472 = 2,393.28/x
  3. Step 3: Cross multiply
    3,967.20x = 5,472 × 2,393.28
  4. Step 4: Simplify right side
    3,967.20x = 13,096,028.16
  5. Step 5: Solve for x
    x = 13,096,028.16/3,967.20
  6. Step 6: Final answer
    x = 3,301.08

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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.