Home / 1,538.12-2,122.49-874.97

Finding the Fourth Proportional to 1,538.12, 2,122.49 and 874.97

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Solution

The fourth proportional to 1,538.12, 2,122.49 and 874.97 is: 1,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.12 : 2,122.49 = 874.97 : x
  2. Step 2: Convert to fraction form
    1,538.12/2,122.49 = 874.97/x
  3. Step 3: Cross multiply
    1,538.12x = 2,122.49 × 874.97
  4. Step 4: Simplify right side
    1,538.12x = 1,857,122.57
  5. Step 5: Solve for x
    x = 1,857,122.57/1,538.12
  6. Step 6: Final answer
    x = 1,207.40

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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.