Home / 2,538.50-3,806.84-1,077.78

Finding the Fourth Proportional to 2,538.50, 3,806.84 and 1,077.78

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Solution

The fourth proportional to 2,538.50, 3,806.84 and 1,077.78 is: 1,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.50 : 3,806.84 = 1,077.78 : x
  2. Step 2: Convert to fraction form
    2,538.50/3,806.84 = 1,077.78/x
  3. Step 3: Cross multiply
    2,538.50x = 3,806.84 × 1,077.78
  4. Step 4: Simplify right side
    2,538.50x = 4,102,936.02
  5. Step 5: Solve for x
    x = 4,102,936.02/2,538.50
  6. Step 6: Final answer
    x = 1,616.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.