Home / 1,538.26-2,122.92-875.14

Finding the Fourth Proportional to 1,538.26, 2,122.92 and 875.14

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Solution

The fourth proportional to 1,538.26, 2,122.92 and 875.14 is: 1,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.26 : 2,122.92 = 875.14 : x
  2. Step 2: Convert to fraction form
    1,538.26/2,122.92 = 875.14/x
  3. Step 3: Cross multiply
    1,538.26x = 2,122.92 × 875.14
  4. Step 4: Simplify right side
    1,538.26x = 1,857,852.21
  5. Step 5: Solve for x
    x = 1,857,852.21/1,538.26
  6. Step 6: Final answer
    x = 1,207.76

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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.