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Finding the Fourth Proportional to 2,867.89, 4,301.33 and 759.53

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Solution

The fourth proportional to 2,867.89, 4,301.33 and 759.53 is: 1,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.89 : 4,301.33 = 759.53 : x
  2. Step 2: Convert to fraction form
    2,867.89/4,301.33 = 759.53/x
  3. Step 3: Cross multiply
    2,867.89x = 4,301.33 × 759.53
  4. Step 4: Simplify right side
    2,867.89x = 3,267,006.33
  5. Step 5: Solve for x
    x = 3,267,006.33/2,867.89
  6. Step 6: Final answer
    x = 1,139.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.