Home / 1,647.20-2,272.92-983.78

Finding the Fourth Proportional to 1,647.20, 2,272.92 and 983.78

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Solution

The fourth proportional to 1,647.20, 2,272.92 and 983.78 is: 1,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.20 : 2,272.92 = 983.78 : x
  2. Step 2: Convert to fraction form
    1,647.20/2,272.92 = 983.78/x
  3. Step 3: Cross multiply
    1,647.20x = 2,272.92 × 983.78
  4. Step 4: Simplify right side
    1,647.20x = 2,236,053.24
  5. Step 5: Solve for x
    x = 2,236,053.24/1,647.20
  6. Step 6: Final answer
    x = 1,357.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.