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Finding the Fourth Proportional to 2,607.75, 3,911.67 and 876.51

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Solution

The fourth proportional to 2,607.75, 3,911.67 and 876.51 is: 1,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.75 : 3,911.67 = 876.51 : x
  2. Step 2: Convert to fraction form
    2,607.75/3,911.67 = 876.51/x
  3. Step 3: Cross multiply
    2,607.75x = 3,911.67 × 876.51
  4. Step 4: Simplify right side
    2,607.75x = 3,428,617.87
  5. Step 5: Solve for x
    x = 3,428,617.87/2,607.75
  6. Step 6: Final answer
    x = 1,314.78

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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.