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Finding the Fourth Proportional to 2,855.64, 3,932.82 and 2,306.46

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Solution

The fourth proportional to 2,855.64, 3,932.82 and 2,306.46 is: 3,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.64 : 3,932.82 = 2,306.46 : x
  2. Step 2: Convert to fraction form
    2,855.64/3,932.82 = 2,306.46/x
  3. Step 3: Cross multiply
    2,855.64x = 3,932.82 × 2,306.46
  4. Step 4: Simplify right side
    2,855.64x = 9,070,892.02
  5. Step 5: Solve for x
    x = 9,070,892.02/2,855.64
  6. Step 6: Final answer
    x = 3,176.48

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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.