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Finding the Fourth Proportional to 2,969.28, 4,455 and 1,238.04

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Solution

The fourth proportional to 2,969.28, 4,455 and 1,238.04 is: 1,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.28 : 4,455 = 1,238.04 : x
  2. Step 2: Convert to fraction form
    2,969.28/4,455 = 1,238.04/x
  3. Step 3: Cross multiply
    2,969.28x = 4,455 × 1,238.04
  4. Step 4: Simplify right side
    2,969.28x = 5,515,468.20
  5. Step 5: Solve for x
    x = 5,515,468.20/2,969.28
  6. Step 6: Final answer
    x = 1,857.51

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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.