Home / 1,288.46-1,923.36-1,102.56

Finding the Fourth Proportional to 1,288.46, 1,923.36 and 1,102.56

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Solution

The fourth proportional to 1,288.46, 1,923.36 and 1,102.56 is: 1,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.46 : 1,923.36 = 1,102.56 : x
  2. Step 2: Convert to fraction form
    1,288.46/1,923.36 = 1,102.56/x
  3. Step 3: Cross multiply
    1,288.46x = 1,923.36 × 1,102.56
  4. Step 4: Simplify right side
    1,288.46x = 2,120,619.80
  5. Step 5: Solve for x
    x = 2,120,619.80/1,288.46
  6. Step 6: Final answer
    x = 1,645.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.