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Finding the Fourth Proportional to 5,311.44, 7,968.24 and 1,851.12

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Solution

The fourth proportional to 5,311.44, 7,968.24 and 1,851.12 is: 2,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.44 : 7,968.24 = 1,851.12 : x
  2. Step 2: Convert to fraction form
    5,311.44/7,968.24 = 1,851.12/x
  3. Step 3: Cross multiply
    5,311.44x = 7,968.24 × 1,851.12
  4. Step 4: Simplify right side
    5,311.44x = 14,750,168.43
  5. Step 5: Solve for x
    x = 14,750,168.43/5,311.44
  6. Step 6: Final answer
    x = 2,777.06

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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.