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Finding the Fourth Proportional to 6,986.80, 10,480.20 and 6,865.30

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Solution

The fourth proportional to 6,986.80, 10,480.20 and 6,865.30 is: 10,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.80 : 10,480.20 = 6,865.30 : x
  2. Step 2: Convert to fraction form
    6,986.80/10,480.20 = 6,865.30/x
  3. Step 3: Cross multiply
    6,986.80x = 10,480.20 × 6,865.30
  4. Step 4: Simplify right side
    6,986.80x = 71,949,717.06
  5. Step 5: Solve for x
    x = 71,949,717.06/6,986.80
  6. Step 6: Final answer
    x = 10,297.95

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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.