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Finding the Fourth Proportional to 2,608.17, 3,912.80 and 876.75

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Solution

The fourth proportional to 2,608.17, 3,912.80 and 876.75 is: 1,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.17 : 3,912.80 = 876.75 : x
  2. Step 2: Convert to fraction form
    2,608.17/3,912.80 = 876.75/x
  3. Step 3: Cross multiply
    2,608.17x = 3,912.80 × 876.75
  4. Step 4: Simplify right side
    2,608.17x = 3,430,543.02
  5. Step 5: Solve for x
    x = 3,430,543.02/2,608.17
  6. Step 6: Final answer
    x = 1,315.31

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1.5x scale

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.