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Finding the Fourth Proportional to 2,607.67, 3,912.09 and 876.25

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Solution

The fourth proportional to 2,607.67, 3,912.09 and 876.25 is: 1,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.67 : 3,912.09 = 876.25 : x
  2. Step 2: Convert to fraction form
    2,607.67/3,912.09 = 876.25/x
  3. Step 3: Cross multiply
    2,607.67x = 3,912.09 × 876.25
  4. Step 4: Simplify right side
    2,607.67x = 3,427,968.86
  5. Step 5: Solve for x
    x = 3,427,968.86/2,607.67
  6. Step 6: Final answer
    x = 1,314.57

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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.