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Finding the Fourth Proportional to 3,251, 4,486.40 and 1,854.56

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Solution

The fourth proportional to 3,251, 4,486.40 and 1,854.56 is: 2,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251 : 4,486.40 = 1,854.56 : x
  2. Step 2: Convert to fraction form
    3,251/4,486.40 = 1,854.56/x
  3. Step 3: Cross multiply
    3,251x = 4,486.40 × 1,854.56
  4. Step 4: Simplify right side
    3,251x = 8,320,297.98
  5. Step 5: Solve for x
    x = 8,320,297.98/3,251
  6. Step 6: Final answer
    x = 2,559.30

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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.