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Finding the Fourth Proportional to 2,640.12, 3,642.75 and 1,520.70

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Solution

The fourth proportional to 2,640.12, 3,642.75 and 1,520.70 is: 2,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.12 : 3,642.75 = 1,520.70 : x
  2. Step 2: Convert to fraction form
    2,640.12/3,642.75 = 1,520.70/x
  3. Step 3: Cross multiply
    2,640.12x = 3,642.75 × 1,520.70
  4. Step 4: Simplify right side
    2,640.12x = 5,539,529.93
  5. Step 5: Solve for x
    x = 5,539,529.93/2,640.12
  6. Step 6: Final answer
    x = 2,098.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.