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Finding the Fourth Proportional to 6,894.92, 10,340.82 and 1,964.45

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Solution

The fourth proportional to 6,894.92, 10,340.82 and 1,964.45 is: 2,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.92 : 10,340.82 = 1,964.45 : x
  2. Step 2: Convert to fraction form
    6,894.92/10,340.82 = 1,964.45/x
  3. Step 3: Cross multiply
    6,894.92x = 10,340.82 × 1,964.45
  4. Step 4: Simplify right side
    6,894.92x = 20,314,049.70
  5. Step 5: Solve for x
    x = 20,314,049.70/6,894.92
  6. Step 6: Final answer
    x = 2,946.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.