Home / 1,538.12-2,123.62-949.52

Finding the Fourth Proportional to 1,538.12, 2,123.62 and 949.52

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Solution

The fourth proportional to 1,538.12, 2,123.62 and 949.52 is: 1,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.12 : 2,123.62 = 949.52 : x
  2. Step 2: Convert to fraction form
    1,538.12/2,123.62 = 949.52/x
  3. Step 3: Cross multiply
    1,538.12x = 2,123.62 × 949.52
  4. Step 4: Simplify right side
    1,538.12x = 2,016,406.67
  5. Step 5: Solve for x
    x = 2,016,406.67/1,538.12
  6. Step 6: Final answer
    x = 1,310.96

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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.