Home / 1,538.40-2,122.98-839.76

Finding the Fourth Proportional to 1,538.40, 2,122.98 and 839.76

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Solution

The fourth proportional to 1,538.40, 2,122.98 and 839.76 is: 1,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.40 : 2,122.98 = 839.76 : x
  2. Step 2: Convert to fraction form
    1,538.40/2,122.98 = 839.76/x
  3. Step 3: Cross multiply
    1,538.40x = 2,122.98 × 839.76
  4. Step 4: Simplify right side
    1,538.40x = 1,782,793.68
  5. Step 5: Solve for x
    x = 1,782,793.68/1,538.40
  6. Step 6: Final answer
    x = 1,158.86

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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.