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Finding the Fourth Proportional to 2,638, 3,640.50 and 1,708.12

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Solution

The fourth proportional to 2,638, 3,640.50 and 1,708.12 is: 2,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638 : 3,640.50 = 1,708.12 : x
  2. Step 2: Convert to fraction form
    2,638/3,640.50 = 1,708.12/x
  3. Step 3: Cross multiply
    2,638x = 3,640.50 × 1,708.12
  4. Step 4: Simplify right side
    2,638x = 6,218,410.86
  5. Step 5: Solve for x
    x = 6,218,410.86/2,638
  6. Step 6: Final answer
    x = 2,357.24

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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.