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Finding the Fourth Proportional to 6,912.86, 10,367.86 and 1,981.40

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Solution

The fourth proportional to 6,912.86, 10,367.86 and 1,981.40 is: 2,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.86 : 10,367.86 = 1,981.40 : x
  2. Step 2: Convert to fraction form
    6,912.86/10,367.86 = 1,981.40/x
  3. Step 3: Cross multiply
    6,912.86x = 10,367.86 × 1,981.40
  4. Step 4: Simplify right side
    6,912.86x = 20,542,871.25
  5. Step 5: Solve for x
    x = 20,542,871.25/6,912.86
  6. Step 6: Final answer
    x = 2,971.69

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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.