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Finding the Fourth Proportional to 5,311.67, 7,968.86 and 3,122.24

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Solution

The fourth proportional to 5,311.67, 7,968.86 and 3,122.24 is: 4,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.67 : 7,968.86 = 3,122.24 : x
  2. Step 2: Convert to fraction form
    5,311.67/7,968.86 = 3,122.24/x
  3. Step 3: Cross multiply
    5,311.67x = 7,968.86 × 3,122.24
  4. Step 4: Simplify right side
    5,311.67x = 24,880,693.45
  5. Step 5: Solve for x
    x = 24,880,693.45/5,311.67
  6. Step 6: Final answer
    x = 4,684.16

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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.