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Finding the Fourth Proportional to 12,086.87, 16,679.86 and 6,782.18

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Solution

The fourth proportional to 12,086.87, 16,679.86 and 6,782.18 is: 9,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.87 : 16,679.86 = 6,782.18 : x
  2. Step 2: Convert to fraction form
    12,086.87/16,679.86 = 6,782.18/x
  3. Step 3: Cross multiply
    12,086.87x = 16,679.86 × 6,782.18
  4. Step 4: Simplify right side
    12,086.87x = 113,125,712.54
  5. Step 5: Solve for x
    x = 113,125,712.54/12,086.87
  6. Step 6: Final answer
    x = 9,359.39

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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.