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Finding the Fourth Proportional to 6,666.50, 9,199.78 and 3,872

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Solution

The fourth proportional to 6,666.50, 9,199.78 and 3,872 is: 5,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.50 : 9,199.78 = 3,872 : x
  2. Step 2: Convert to fraction form
    6,666.50/9,199.78 = 3,872/x
  3. Step 3: Cross multiply
    6,666.50x = 9,199.78 × 3,872
  4. Step 4: Simplify right side
    6,666.50x = 35,621,548.16
  5. Step 5: Solve for x
    x = 35,621,548.16/6,666.50
  6. Step 6: Final answer
    x = 5,343.37

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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.