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Finding the Fourth Proportional to 2,690.69, 3,710.81 and 1,943.46

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Solution

The fourth proportional to 2,690.69, 3,710.81 and 1,943.46 is: 2,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.69 : 3,710.81 = 1,943.46 : x
  2. Step 2: Convert to fraction form
    2,690.69/3,710.81 = 1,943.46/x
  3. Step 3: Cross multiply
    2,690.69x = 3,710.81 × 1,943.46
  4. Step 4: Simplify right side
    2,690.69x = 7,211,815.66
  5. Step 5: Solve for x
    x = 7,211,815.66/2,690.69
  6. Step 6: Final answer
    x = 2,680.29

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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.