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Finding the Fourth Proportional to 1,909.87, 2,867.11 and 1,812.99

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Solution

The fourth proportional to 1,909.87, 2,867.11 and 1,812.99 is: 2,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.87 : 2,867.11 = 1,812.99 : x
  2. Step 2: Convert to fraction form
    1,909.87/2,867.11 = 1,812.99/x
  3. Step 3: Cross multiply
    1,909.87x = 2,867.11 × 1,812.99
  4. Step 4: Simplify right side
    1,909.87x = 5,198,030.68
  5. Step 5: Solve for x
    x = 5,198,030.68/1,909.87
  6. Step 6: Final answer
    x = 2,721.67

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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.