Home / 1,537.66-2,121.98-839.04

Finding the Fourth Proportional to 1,537.66, 2,121.98 and 839.04

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Solution

The fourth proportional to 1,537.66, 2,121.98 and 839.04 is: 1,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.66 : 2,121.98 = 839.04 : x
  2. Step 2: Convert to fraction form
    1,537.66/2,121.98 = 839.04/x
  3. Step 3: Cross multiply
    1,537.66x = 2,121.98 × 839.04
  4. Step 4: Simplify right side
    1,537.66x = 1,780,426.10
  5. Step 5: Solve for x
    x = 1,780,426.10/1,537.66
  6. Step 6: Final answer
    x = 1,157.88

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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.