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Finding the Fourth Proportional to 8,221.53, 11,344.15 and 4,684.67

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Solution

The fourth proportional to 8,221.53, 11,344.15 and 4,684.67 is: 6,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.53 : 11,344.15 = 4,684.67 : x
  2. Step 2: Convert to fraction form
    8,221.53/11,344.15 = 4,684.67/x
  3. Step 3: Cross multiply
    8,221.53x = 11,344.15 × 4,684.67
  4. Step 4: Simplify right side
    8,221.53x = 53,143,599.18
  5. Step 5: Solve for x
    x = 53,143,599.18/8,221.53
  6. Step 6: Final answer
    x = 6,463.95

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1.5x scale

Why These Related Problems?

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