Home / 2,278.24-3,417.08-817.28

Finding the Fourth Proportional to 2,278.24, 3,417.08 and 817.28

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Solution

The fourth proportional to 2,278.24, 3,417.08 and 817.28 is: 1,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.24 : 3,417.08 = 817.28 : x
  2. Step 2: Convert to fraction form
    2,278.24/3,417.08 = 817.28/x
  3. Step 3: Cross multiply
    2,278.24x = 3,417.08 × 817.28
  4. Step 4: Simplify right side
    2,278.24x = 2,792,711.14
  5. Step 5: Solve for x
    x = 2,792,711.14/2,278.24
  6. Step 6: Final answer
    x = 1,225.82

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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.