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Finding the Fourth Proportional to 2,338.42, 3,227 and 1,290.48

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Solution

The fourth proportional to 2,338.42, 3,227 and 1,290.48 is: 1,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.42 : 3,227 = 1,290.48 : x
  2. Step 2: Convert to fraction form
    2,338.42/3,227 = 1,290.48/x
  3. Step 3: Cross multiply
    2,338.42x = 3,227 × 1,290.48
  4. Step 4: Simplify right side
    2,338.42x = 4,164,378.96
  5. Step 5: Solve for x
    x = 4,164,378.96/2,338.42
  6. Step 6: Final answer
    x = 1,780.85

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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.