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Finding the Fourth Proportional to 2,642.60, 3,982.07 and 2,190.53

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Solution

The fourth proportional to 2,642.60, 3,982.07 and 2,190.53 is: 3,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.60 : 3,982.07 = 2,190.53 : x
  2. Step 2: Convert to fraction form
    2,642.60/3,982.07 = 2,190.53/x
  3. Step 3: Cross multiply
    2,642.60x = 3,982.07 × 2,190.53
  4. Step 4: Simplify right side
    2,642.60x = 8,722,812.93
  5. Step 5: Solve for x
    x = 8,722,812.93/2,642.60
  6. Step 6: Final answer
    x = 3,300.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.