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Finding the Fourth Proportional to 9,491.76, 14,227.50 and 4,815.21

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Solution

The fourth proportional to 9,491.76, 14,227.50 and 4,815.21 is: 7,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.76 : 14,227.50 = 4,815.21 : x
  2. Step 2: Convert to fraction form
    9,491.76/14,227.50 = 4,815.21/x
  3. Step 3: Cross multiply
    9,491.76x = 14,227.50 × 4,815.21
  4. Step 4: Simplify right side
    9,491.76x = 68,508,400.28
  5. Step 5: Solve for x
    x = 68,508,400.28/9,491.76
  6. Step 6: Final answer
    x = 7,217.67

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1.5x scale

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.