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Finding the Fourth Proportional to 1,872.92, 2,807.87 and 1,409.81

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Solution

The fourth proportional to 1,872.92, 2,807.87 and 1,409.81 is: 2,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.92 : 2,807.87 = 1,409.81 : x
  2. Step 2: Convert to fraction form
    1,872.92/2,807.87 = 1,409.81/x
  3. Step 3: Cross multiply
    1,872.92x = 2,807.87 × 1,409.81
  4. Step 4: Simplify right side
    1,872.92x = 3,958,542.12
  5. Step 5: Solve for x
    x = 3,958,542.12/1,872.92
  6. Step 6: Final answer
    x = 2,113.56

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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.