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Finding the Fourth Proportional to 6,906.47, 10,357.97 and 1,976.13

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Solution

The fourth proportional to 6,906.47, 10,357.97 and 1,976.13 is: 2,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.47 : 10,357.97 = 1,976.13 : x
  2. Step 2: Convert to fraction form
    6,906.47/10,357.97 = 1,976.13/x
  3. Step 3: Cross multiply
    6,906.47x = 10,357.97 × 1,976.13
  4. Step 4: Simplify right side
    6,906.47x = 20,468,685.38
  5. Step 5: Solve for x
    x = 20,468,685.38/6,906.47
  6. Step 6: Final answer
    x = 2,963.70

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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.