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Finding the Fourth Proportional to 2,003.76, 3,006.18 and 771.21

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Solution

The fourth proportional to 2,003.76, 3,006.18 and 771.21 is: 1,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.76 : 3,006.18 = 771.21 : x
  2. Step 2: Convert to fraction form
    2,003.76/3,006.18 = 771.21/x
  3. Step 3: Cross multiply
    2,003.76x = 3,006.18 × 771.21
  4. Step 4: Simplify right side
    2,003.76x = 2,318,396.08
  5. Step 5: Solve for x
    x = 2,318,396.08/2,003.76
  6. Step 6: Final answer
    x = 1,157.02

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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.