Home / 1,521.52-2,099.68-822.88

Finding the Fourth Proportional to 1,521.52, 2,099.68 and 822.88

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Solution

The fourth proportional to 1,521.52, 2,099.68 and 822.88 is: 1,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.52 : 2,099.68 = 822.88 : x
  2. Step 2: Convert to fraction form
    1,521.52/2,099.68 = 822.88/x
  3. Step 3: Cross multiply
    1,521.52x = 2,099.68 × 822.88
  4. Step 4: Simplify right side
    1,521.52x = 1,727,784.68
  5. Step 5: Solve for x
    x = 1,727,784.68/1,521.52
  6. Step 6: Final answer
    x = 1,135.56

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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.