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Finding the Fourth Proportional to 5,311.20, 7,966.80 and 1,800.60

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Solution

The fourth proportional to 5,311.20, 7,966.80 and 1,800.60 is: 2,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.20 : 7,966.80 = 1,800.60 : x
  2. Step 2: Convert to fraction form
    5,311.20/7,966.80 = 1,800.60/x
  3. Step 3: Cross multiply
    5,311.20x = 7,966.80 × 1,800.60
  4. Step 4: Simplify right side
    5,311.20x = 14,345,020.08
  5. Step 5: Solve for x
    x = 14,345,020.08/5,311.20
  6. Step 6: Final answer
    x = 2,700.90

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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.