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Finding the Fourth Proportional to 2,639.60, 3,643.11 and 1,696.56

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Solution

The fourth proportional to 2,639.60, 3,643.11 and 1,696.56 is: 2,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.60 : 3,643.11 = 1,696.56 : x
  2. Step 2: Convert to fraction form
    2,639.60/3,643.11 = 1,696.56/x
  3. Step 3: Cross multiply
    2,639.60x = 3,643.11 × 1,696.56
  4. Step 4: Simplify right side
    2,639.60x = 6,180,754.70
  5. Step 5: Solve for x
    x = 6,180,754.70/2,639.60
  6. Step 6: Final answer
    x = 2,341.55

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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.