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Finding the Fourth Proportional to 9,986.91, 13,787.46 and 6,009

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Solution

The fourth proportional to 9,986.91, 13,787.46 and 6,009 is: 8,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.91 : 13,787.46 = 6,009 : x
  2. Step 2: Convert to fraction form
    9,986.91/13,787.46 = 6,009/x
  3. Step 3: Cross multiply
    9,986.91x = 13,787.46 × 6,009
  4. Step 4: Simplify right side
    9,986.91x = 82,848,847.14
  5. Step 5: Solve for x
    x = 82,848,847.14/9,986.91
  6. Step 6: Final answer
    x = 8,295.74

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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.