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Finding the Fourth Proportional to 12,015.75, 16,580.59 and 6,979.84

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Solution

The fourth proportional to 12,015.75, 16,580.59 and 6,979.84 is: 9,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.75 : 16,580.59 = 6,979.84 : x
  2. Step 2: Convert to fraction form
    12,015.75/16,580.59 = 6,979.84/x
  3. Step 3: Cross multiply
    12,015.75x = 16,580.59 × 6,979.84
  4. Step 4: Simplify right side
    12,015.75x = 115,729,865.31
  5. Step 5: Solve for x
    x = 115,729,865.31/12,015.75
  6. Step 6: Final answer
    x = 9,631.51

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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.