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Finding the Fourth Proportional to 2,670.87, 4,002.21 and 2,260.81

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Solution

The fourth proportional to 2,670.87, 4,002.21 and 2,260.81 is: 3,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.87 : 4,002.21 = 2,260.81 : x
  2. Step 2: Convert to fraction form
    2,670.87/4,002.21 = 2,260.81/x
  3. Step 3: Cross multiply
    2,670.87x = 4,002.21 × 2,260.81
  4. Step 4: Simplify right side
    2,670.87x = 9,048,241.39
  5. Step 5: Solve for x
    x = 9,048,241.39/2,670.87
  6. Step 6: Final answer
    x = 3,387.75

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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.