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Finding the Fourth Proportional to 8,165.88, 11,273.10 and 7,369.08

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Solution

The fourth proportional to 8,165.88, 11,273.10 and 7,369.08 is: 10,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.88 : 11,273.10 = 7,369.08 : x
  2. Step 2: Convert to fraction form
    8,165.88/11,273.10 = 7,369.08/x
  3. Step 3: Cross multiply
    8,165.88x = 11,273.10 × 7,369.08
  4. Step 4: Simplify right side
    8,165.88x = 83,072,375.75
  5. Step 5: Solve for x
    x = 83,072,375.75/8,165.88
  6. Step 6: Final answer
    x = 10,173.11

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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.