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Finding the Fourth Proportional to 9,762.97, 13,472.89 and 5,286.72

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Solution

The fourth proportional to 9,762.97, 13,472.89 and 5,286.72 is: 7,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.97 : 13,472.89 = 5,286.72 : x
  2. Step 2: Convert to fraction form
    9,762.97/13,472.89 = 5,286.72/x
  3. Step 3: Cross multiply
    9,762.97x = 13,472.89 × 5,286.72
  4. Step 4: Simplify right side
    9,762.97x = 71,227,397.02
  5. Step 5: Solve for x
    x = 71,227,397.02/9,762.97
  6. Step 6: Final answer
    x = 7,295.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.