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Finding the Fourth Proportional to 2,367.28, 3,551.72 and 981.28

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Solution

The fourth proportional to 2,367.28, 3,551.72 and 981.28 is: 1,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.28 : 3,551.72 = 981.28 : x
  2. Step 2: Convert to fraction form
    2,367.28/3,551.72 = 981.28/x
  3. Step 3: Cross multiply
    2,367.28x = 3,551.72 × 981.28
  4. Step 4: Simplify right side
    2,367.28x = 3,485,231.80
  5. Step 5: Solve for x
    x = 3,485,231.80/2,367.28
  6. Step 6: Final answer
    x = 1,472.25

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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.