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Finding the Fourth Proportional to 11,066, 16,585.68 and 5,211.20

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Solution

The fourth proportional to 11,066, 16,585.68 and 5,211.20 is: 7,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,066 : 16,585.68 = 5,211.20 : x
  2. Step 2: Convert to fraction form
    11,066/16,585.68 = 5,211.20/x
  3. Step 3: Cross multiply
    11,066x = 16,585.68 × 5,211.20
  4. Step 4: Simplify right side
    11,066x = 86,431,295.62
  5. Step 5: Solve for x
    x = 86,431,295.62/11,066
  6. Step 6: Final answer
    x = 7,810.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.