Home / 1,521.06-2,099.06-822.43

Finding the Fourth Proportional to 1,521.06, 2,099.06 and 822.43

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Solution

The fourth proportional to 1,521.06, 2,099.06 and 822.43 is: 1,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.06 : 2,099.06 = 822.43 : x
  2. Step 2: Convert to fraction form
    1,521.06/2,099.06 = 822.43/x
  3. Step 3: Cross multiply
    1,521.06x = 2,099.06 × 822.43
  4. Step 4: Simplify right side
    1,521.06x = 1,726,330.48
  5. Step 5: Solve for x
    x = 1,726,330.48/1,521.06
  6. Step 6: Final answer
    x = 1,134.96

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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.