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Finding the Fourth Proportional to 2,503.11, 3,755.78 and 860.84

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Solution

The fourth proportional to 2,503.11, 3,755.78 and 860.84 is: 1,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.11 : 3,755.78 = 860.84 : x
  2. Step 2: Convert to fraction form
    2,503.11/3,755.78 = 860.84/x
  3. Step 3: Cross multiply
    2,503.11x = 3,755.78 × 860.84
  4. Step 4: Simplify right side
    2,503.11x = 3,233,125.66
  5. Step 5: Solve for x
    x = 3,233,125.66/2,503.11
  6. Step 6: Final answer
    x = 1,291.64

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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.