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Finding the Fourth Proportional to 2,626.28, 3,938.98 and 960.06

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Solution

The fourth proportional to 2,626.28, 3,938.98 and 960.06 is: 1,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.28 : 3,938.98 = 960.06 : x
  2. Step 2: Convert to fraction form
    2,626.28/3,938.98 = 960.06/x
  3. Step 3: Cross multiply
    2,626.28x = 3,938.98 × 960.06
  4. Step 4: Simplify right side
    2,626.28x = 3,781,657.14
  5. Step 5: Solve for x
    x = 3,781,657.14/2,626.28
  6. Step 6: Final answer
    x = 1,439.93

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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.