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Finding the Fourth Proportional to 9,979.07, 13,772.07 and 6,000.09

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Solution

The fourth proportional to 9,979.07, 13,772.07 and 6,000.09 is: 8,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.07 : 13,772.07 = 6,000.09 : x
  2. Step 2: Convert to fraction form
    9,979.07/13,772.07 = 6,000.09/x
  3. Step 3: Cross multiply
    9,979.07x = 13,772.07 × 6,000.09
  4. Step 4: Simplify right side
    9,979.07x = 82,633,659.49
  5. Step 5: Solve for x
    x = 82,633,659.49/9,979.07
  6. Step 6: Final answer
    x = 8,280.70

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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.