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Finding the Fourth Proportional to 9,889.97, 13,644.59 and 5,855.90

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Solution

The fourth proportional to 9,889.97, 13,644.59 and 5,855.90 is: 8,079.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.97 : 13,644.59 = 5,855.90 : x
  2. Step 2: Convert to fraction form
    9,889.97/13,644.59 = 5,855.90/x
  3. Step 3: Cross multiply
    9,889.97x = 13,644.59 × 5,855.90
  4. Step 4: Simplify right side
    9,889.97x = 79,901,257.08
  5. Step 5: Solve for x
    x = 79,901,257.08/9,889.97
  6. Step 6: Final answer
    x = 8,079.02

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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.