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Finding the Fourth Proportional to 7,217.75, 9,960.50 and 3,905.75

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Solution

The fourth proportional to 7,217.75, 9,960.50 and 3,905.75 is: 5,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.75 : 9,960.50 = 3,905.75 : x
  2. Step 2: Convert to fraction form
    7,217.75/9,960.50 = 3,905.75/x
  3. Step 3: Cross multiply
    7,217.75x = 9,960.50 × 3,905.75
  4. Step 4: Simplify right side
    7,217.75x = 38,903,222.88
  5. Step 5: Solve for x
    x = 38,903,222.88/7,217.75
  6. Step 6: Final answer
    x = 5,389.94

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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.