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Finding the Fourth Proportional to 7,338, 10,991.61 and 5,770.65

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Solution

The fourth proportional to 7,338, 10,991.61 and 5,770.65 is: 8,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338 : 10,991.61 = 5,770.65 : x
  2. Step 2: Convert to fraction form
    7,338/10,991.61 = 5,770.65/x
  3. Step 3: Cross multiply
    7,338x = 10,991.61 × 5,770.65
  4. Step 4: Simplify right side
    7,338x = 63,428,734.25
  5. Step 5: Solve for x
    x = 63,428,734.25/7,338
  6. Step 6: Final answer
    x = 8,643.87

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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.