Home / 1,538.11-2,122.59-948.65

Finding the Fourth Proportional to 1,538.11, 2,122.59 and 948.65

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Solution

The fourth proportional to 1,538.11, 2,122.59 and 948.65 is: 1,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.11 : 2,122.59 = 948.65 : x
  2. Step 2: Convert to fraction form
    1,538.11/2,122.59 = 948.65/x
  3. Step 3: Cross multiply
    1,538.11x = 2,122.59 × 948.65
  4. Step 4: Simplify right side
    1,538.11x = 2,013,584.39
  5. Step 5: Solve for x
    x = 2,013,584.39/1,538.11
  6. Step 6: Final answer
    x = 1,309.13

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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.