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Finding the Fourth Proportional to 7,189.79, 10,770.11 and 3,719.75

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Solution

The fourth proportional to 7,189.79, 10,770.11 and 3,719.75 is: 5,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.79 : 10,770.11 = 3,719.75 : x
  2. Step 2: Convert to fraction form
    7,189.79/10,770.11 = 3,719.75/x
  3. Step 3: Cross multiply
    7,189.79x = 10,770.11 × 3,719.75
  4. Step 4: Simplify right side
    7,189.79x = 40,062,098.07
  5. Step 5: Solve for x
    x = 40,062,098.07/7,189.79
  6. Step 6: Final answer
    x = 5,572.08

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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.