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Finding the Fourth Proportional to 2,841.16, 3,920.83 and 1,662

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Solution

The fourth proportional to 2,841.16, 3,920.83 and 1,662 is: 2,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.16 : 3,920.83 = 1,662 : x
  2. Step 2: Convert to fraction form
    2,841.16/3,920.83 = 1,662/x
  3. Step 3: Cross multiply
    2,841.16x = 3,920.83 × 1,662
  4. Step 4: Simplify right side
    2,841.16x = 6,516,419.46
  5. Step 5: Solve for x
    x = 6,516,419.46/2,841.16
  6. Step 6: Final answer
    x = 2,293.58

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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.