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Finding the Fourth Proportional to 2,841.70, 3,920.64 and 1,662.34

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Solution

The fourth proportional to 2,841.70, 3,920.64 and 1,662.34 is: 2,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.70 : 3,920.64 = 1,662.34 : x
  2. Step 2: Convert to fraction form
    2,841.70/3,920.64 = 1,662.34/x
  3. Step 3: Cross multiply
    2,841.70x = 3,920.64 × 1,662.34
  4. Step 4: Simplify right side
    2,841.70x = 6,517,436.70
  5. Step 5: Solve for x
    x = 6,517,436.70/2,841.70
  6. Step 6: Final answer
    x = 2,293.50

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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.