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Finding the Fourth Proportional to 8,682.60, 11,974.46 and 7,003.47

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Solution

The fourth proportional to 8,682.60, 11,974.46 and 7,003.47 is: 9,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.60 : 11,974.46 = 7,003.47 : x
  2. Step 2: Convert to fraction form
    8,682.60/11,974.46 = 7,003.47/x
  3. Step 3: Cross multiply
    8,682.60x = 11,974.46 × 7,003.47
  4. Step 4: Simplify right side
    8,682.60x = 83,862,736.36
  5. Step 5: Solve for x
    x = 83,862,736.36/8,682.60
  6. Step 6: Final answer
    x = 9,658.71

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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.