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Finding the Fourth Proportional to 8,201.40, 12,272.94 and 4,721.64

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Solution

The fourth proportional to 8,201.40, 12,272.94 and 4,721.64 is: 7,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.40 : 12,272.94 = 4,721.64 : x
  2. Step 2: Convert to fraction form
    8,201.40/12,272.94 = 4,721.64/x
  3. Step 3: Cross multiply
    8,201.40x = 12,272.94 × 4,721.64
  4. Step 4: Simplify right side
    8,201.40x = 57,948,404.42
  5. Step 5: Solve for x
    x = 57,948,404.42/8,201.40
  6. Step 6: Final answer
    x = 7,065.67

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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.