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Finding the Fourth Proportional to 2,689.26, 3,712.72 and 1,792.76

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Solution

The fourth proportional to 2,689.26, 3,712.72 and 1,792.76 is: 2,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.26 : 3,712.72 = 1,792.76 : x
  2. Step 2: Convert to fraction form
    2,689.26/3,712.72 = 1,792.76/x
  3. Step 3: Cross multiply
    2,689.26x = 3,712.72 × 1,792.76
  4. Step 4: Simplify right side
    2,689.26x = 6,656,015.91
  5. Step 5: Solve for x
    x = 6,656,015.91/2,689.26
  6. Step 6: Final answer
    x = 2,475.04

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1.5x scale

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.