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Finding the Fourth Proportional to 6,986.13, 9,581.80 and 6,198.81

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Solution

The fourth proportional to 6,986.13, 9,581.80 and 6,198.81 is: 8,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.13 : 9,581.80 = 6,198.81 : x
  2. Step 2: Convert to fraction form
    6,986.13/9,581.80 = 6,198.81/x
  3. Step 3: Cross multiply
    6,986.13x = 9,581.80 × 6,198.81
  4. Step 4: Simplify right side
    6,986.13x = 59,395,726.66
  5. Step 5: Solve for x
    x = 59,395,726.66/6,986.13
  6. Step 6: Final answer
    x = 8,501.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.