Home / 2,204.92-3,308.28-972.28

Finding the Fourth Proportional to 2,204.92, 3,308.28 and 972.28

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Solution

The fourth proportional to 2,204.92, 3,308.28 and 972.28 is: 1,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.92 : 3,308.28 = 972.28 : x
  2. Step 2: Convert to fraction form
    2,204.92/3,308.28 = 972.28/x
  3. Step 3: Cross multiply
    2,204.92x = 3,308.28 × 972.28
  4. Step 4: Simplify right side
    2,204.92x = 3,216,574.48
  5. Step 5: Solve for x
    x = 3,216,574.48/2,204.92
  6. Step 6: Final answer
    x = 1,458.82

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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.