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Finding the Fourth Proportional to 9,147.70, 13,729.02 and 4,766.41

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Solution

The fourth proportional to 9,147.70, 13,729.02 and 4,766.41 is: 7,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.70 : 13,729.02 = 4,766.41 : x
  2. Step 2: Convert to fraction form
    9,147.70/13,729.02 = 4,766.41/x
  3. Step 3: Cross multiply
    9,147.70x = 13,729.02 × 4,766.41
  4. Step 4: Simplify right side
    9,147.70x = 65,438,138.22
  5. Step 5: Solve for x
    x = 65,438,138.22/9,147.70
  6. Step 6: Final answer
    x = 7,153.51

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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.