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Finding the Fourth Proportional to 2,793.78, 3,855.46 and 1,534.80

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Solution

The fourth proportional to 2,793.78, 3,855.46 and 1,534.80 is: 2,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.78 : 3,855.46 = 1,534.80 : x
  2. Step 2: Convert to fraction form
    2,793.78/3,855.46 = 1,534.80/x
  3. Step 3: Cross multiply
    2,793.78x = 3,855.46 × 1,534.80
  4. Step 4: Simplify right side
    2,793.78x = 5,917,360.01
  5. Step 5: Solve for x
    x = 5,917,360.01/2,793.78
  6. Step 6: Final answer
    x = 2,118.05

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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.