Home / 1,538.13-2,122.47-874.85

Finding the Fourth Proportional to 1,538.13, 2,122.47 and 874.85

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Solution

The fourth proportional to 1,538.13, 2,122.47 and 874.85 is: 1,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.13 : 2,122.47 = 874.85 : x
  2. Step 2: Convert to fraction form
    1,538.13/2,122.47 = 874.85/x
  3. Step 3: Cross multiply
    1,538.13x = 2,122.47 × 874.85
  4. Step 4: Simplify right side
    1,538.13x = 1,856,842.88
  5. Step 5: Solve for x
    x = 1,856,842.88/1,538.13
  6. Step 6: Final answer
    x = 1,207.21

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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.