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Finding the Fourth Proportional to 2,640.70, 3,643.68 and 1,696.66

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Solution

The fourth proportional to 2,640.70, 3,643.68 and 1,696.66 is: 2,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.70 : 3,643.68 = 1,696.66 : x
  2. Step 2: Convert to fraction form
    2,640.70/3,643.68 = 1,696.66/x
  3. Step 3: Cross multiply
    2,640.70x = 3,643.68 × 1,696.66
  4. Step 4: Simplify right side
    2,640.70x = 6,182,086.11
  5. Step 5: Solve for x
    x = 6,182,086.11/2,640.70
  6. Step 6: Final answer
    x = 2,341.08

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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.