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Finding the Fourth Proportional to 6,976.08, 10,469.88 and 6,538.20

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Solution

The fourth proportional to 6,976.08, 10,469.88 and 6,538.20 is: 9,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.08 : 10,469.88 = 6,538.20 : x
  2. Step 2: Convert to fraction form
    6,976.08/10,469.88 = 6,538.20/x
  3. Step 3: Cross multiply
    6,976.08x = 10,469.88 × 6,538.20
  4. Step 4: Simplify right side
    6,976.08x = 68,454,169.42
  5. Step 5: Solve for x
    x = 68,454,169.42/6,976.08
  6. Step 6: Final answer
    x = 9,812.70

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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.