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Finding the Fourth Proportional to 6,976.92, 9,618.84 and 5,977.92

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Solution

The fourth proportional to 6,976.92, 9,618.84 and 5,977.92 is: 8,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.92 : 9,618.84 = 5,977.92 : x
  2. Step 2: Convert to fraction form
    6,976.92/9,618.84 = 5,977.92/x
  3. Step 3: Cross multiply
    6,976.92x = 9,618.84 × 5,977.92
  4. Step 4: Simplify right side
    6,976.92x = 57,500,656.01
  5. Step 5: Solve for x
    x = 57,500,656.01/6,976.92
  6. Step 6: Final answer
    x = 8,241.55

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1.5x scale

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.