Home / 1,538.13-2,122.62-839.50

Finding the Fourth Proportional to 1,538.13, 2,122.62 and 839.50

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Solution

The fourth proportional to 1,538.13, 2,122.62 and 839.50 is: 1,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.13 : 2,122.62 = 839.50 : x
  2. Step 2: Convert to fraction form
    1,538.13/2,122.62 = 839.50/x
  3. Step 3: Cross multiply
    1,538.13x = 2,122.62 × 839.50
  4. Step 4: Simplify right side
    1,538.13x = 1,781,939.49
  5. Step 5: Solve for x
    x = 1,781,939.49/1,538.13
  6. Step 6: Final answer
    x = 1,158.51

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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.