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Finding the Fourth Proportional to 7,266.78, 10,892.88 and 6,391.98

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Solution

The fourth proportional to 7,266.78, 10,892.88 and 6,391.98 is: 9,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.78 : 10,892.88 = 6,391.98 : x
  2. Step 2: Convert to fraction form
    7,266.78/10,892.88 = 6,391.98/x
  3. Step 3: Cross multiply
    7,266.78x = 10,892.88 × 6,391.98
  4. Step 4: Simplify right side
    7,266.78x = 69,627,071.10
  5. Step 5: Solve for x
    x = 69,627,071.10/7,266.78
  6. Step 6: Final answer
    x = 9,581.56

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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.