Home / 1,538.13-2,122.38-874.83

Finding the Fourth Proportional to 1,538.13, 2,122.38 and 874.83

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Solution

The fourth proportional to 1,538.13, 2,122.38 and 874.83 is: 1,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.13 : 2,122.38 = 874.83 : x
  2. Step 2: Convert to fraction form
    1,538.13/2,122.38 = 874.83/x
  3. Step 3: Cross multiply
    1,538.13x = 2,122.38 × 874.83
  4. Step 4: Simplify right side
    1,538.13x = 1,856,721.70
  5. Step 5: Solve for x
    x = 1,856,721.70/1,538.13
  6. Step 6: Final answer
    x = 1,207.13

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1.5x scale

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.