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Finding the Fourth Proportional to 8,101.70, 11,176.41 and 6,980.69

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Solution

The fourth proportional to 8,101.70, 11,176.41 and 6,980.69 is: 9,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.70 : 11,176.41 = 6,980.69 : x
  2. Step 2: Convert to fraction form
    8,101.70/11,176.41 = 6,980.69/x
  3. Step 3: Cross multiply
    8,101.70x = 11,176.41 × 6,980.69
  4. Step 4: Simplify right side
    8,101.70x = 78,019,053.52
  5. Step 5: Solve for x
    x = 78,019,053.52/8,101.70
  6. Step 6: Final answer
    x = 9,629.96

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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.