Home / 1,538.24-2,122.83-875.16

Finding the Fourth Proportional to 1,538.24, 2,122.83 and 875.16

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Solution

The fourth proportional to 1,538.24, 2,122.83 and 875.16 is: 1,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.24 : 2,122.83 = 875.16 : x
  2. Step 2: Convert to fraction form
    1,538.24/2,122.83 = 875.16/x
  3. Step 3: Cross multiply
    1,538.24x = 2,122.83 × 875.16
  4. Step 4: Simplify right side
    1,538.24x = 1,857,815.90
  5. Step 5: Solve for x
    x = 1,857,815.90/1,538.24
  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.