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Finding the Fourth Proportional to 2,610.32, 3,914.48 and 854.90

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Solution

The fourth proportional to 2,610.32, 3,914.48 and 854.90 is: 1,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.32 : 3,914.48 = 854.90 : x
  2. Step 2: Convert to fraction form
    2,610.32/3,914.48 = 854.90/x
  3. Step 3: Cross multiply
    2,610.32x = 3,914.48 × 854.90
  4. Step 4: Simplify right side
    2,610.32x = 3,346,488.95
  5. Step 5: Solve for x
    x = 3,346,488.95/2,610.32
  6. Step 6: Final answer
    x = 1,282.02

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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.