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Finding the Fourth Proportional to 2,257.28, 3,386.04 and 797.12

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Solution

The fourth proportional to 2,257.28, 3,386.04 and 797.12 is: 1,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.28 : 3,386.04 = 797.12 : x
  2. Step 2: Convert to fraction form
    2,257.28/3,386.04 = 797.12/x
  3. Step 3: Cross multiply
    2,257.28x = 3,386.04 × 797.12
  4. Step 4: Simplify right side
    2,257.28x = 2,699,080.20
  5. Step 5: Solve for x
    x = 2,699,080.20/2,257.28
  6. Step 6: Final answer
    x = 1,195.72

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1.5x scale

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.