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Finding the Fourth Proportional to 2,209.68, 3,315.24 and 823.68

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Solution

The fourth proportional to 2,209.68, 3,315.24 and 823.68 is: 1,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.68 : 3,315.24 = 823.68 : x
  2. Step 2: Convert to fraction form
    2,209.68/3,315.24 = 823.68/x
  3. Step 3: Cross multiply
    2,209.68x = 3,315.24 × 823.68
  4. Step 4: Simplify right side
    2,209.68x = 2,730,696.88
  5. Step 5: Solve for x
    x = 2,730,696.88/2,209.68
  6. Step 6: Final answer
    x = 1,235.79

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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.