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Finding the Fourth Proportional to 3,117.92, 4,304.96 and 1,940

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Solution

The fourth proportional to 3,117.92, 4,304.96 and 1,940 is: 2,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.92 : 4,304.96 = 1,940 : x
  2. Step 2: Convert to fraction form
    3,117.92/4,304.96 = 1,940/x
  3. Step 3: Cross multiply
    3,117.92x = 4,304.96 × 1,940
  4. Step 4: Simplify right side
    3,117.92x = 8,351,622.40
  5. Step 5: Solve for x
    x = 8,351,622.40/3,117.92
  6. Step 6: Final answer
    x = 2,678.59

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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.