Home / 1,537.80-2,122.13-839.18

Finding the Fourth Proportional to 1,537.80, 2,122.13 and 839.18

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Solution

The fourth proportional to 1,537.80, 2,122.13 and 839.18 is: 1,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.80 : 2,122.13 = 839.18 : x
  2. Step 2: Convert to fraction form
    1,537.80/2,122.13 = 839.18/x
  3. Step 3: Cross multiply
    1,537.80x = 2,122.13 × 839.18
  4. Step 4: Simplify right side
    1,537.80x = 1,780,840.54
  5. Step 5: Solve for x
    x = 1,780,840.54/1,537.80
  6. Step 6: Final answer
    x = 1,158.04

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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.