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Finding the Fourth Proportional to 7,388, 11,082 and 2,767.76

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Solution

The fourth proportional to 7,388, 11,082 and 2,767.76 is: 4,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388 : 11,082 = 2,767.76 : x
  2. Step 2: Convert to fraction form
    7,388/11,082 = 2,767.76/x
  3. Step 3: Cross multiply
    7,388x = 11,082 × 2,767.76
  4. Step 4: Simplify right side
    7,388x = 30,672,316.32
  5. Step 5: Solve for x
    x = 30,672,316.32/7,388
  6. Step 6: Final answer
    x = 4,151.64

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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.