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Finding the Fourth Proportional to 1,406.87, 2,109.07 and 748.37

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Solution

The fourth proportional to 1,406.87, 2,109.07 and 748.37 is: 1,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.87 : 2,109.07 = 748.37 : x
  2. Step 2: Convert to fraction form
    1,406.87/2,109.07 = 748.37/x
  3. Step 3: Cross multiply
    1,406.87x = 2,109.07 × 748.37
  4. Step 4: Simplify right side
    1,406.87x = 1,578,370.92
  5. Step 5: Solve for x
    x = 1,578,370.92/1,406.87
  6. Step 6: Final answer
    x = 1,121.90

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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.