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Finding the Fourth Proportional to 6,906.68, 10,359.84 and 1,976.20

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Solution

The fourth proportional to 6,906.68, 10,359.84 and 1,976.20 is: 2,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.68 : 10,359.84 = 1,976.20 : x
  2. Step 2: Convert to fraction form
    6,906.68/10,359.84 = 1,976.20/x
  3. Step 3: Cross multiply
    6,906.68x = 10,359.84 × 1,976.20
  4. Step 4: Simplify right side
    6,906.68x = 20,473,115.81
  5. Step 5: Solve for x
    x = 20,473,115.81/6,906.68
  6. Step 6: Final answer
    x = 2,964.25

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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.