Home / 1,811.64-2,501.46-1,288.20

Finding the Fourth Proportional to 1,811.64, 2,501.46 and 1,288.20

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Solution

The fourth proportional to 1,811.64, 2,501.46 and 1,288.20 is: 1,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.64 : 2,501.46 = 1,288.20 : x
  2. Step 2: Convert to fraction form
    1,811.64/2,501.46 = 1,288.20/x
  3. Step 3: Cross multiply
    1,811.64x = 2,501.46 × 1,288.20
  4. Step 4: Simplify right side
    1,811.64x = 3,222,380.77
  5. Step 5: Solve for x
    x = 3,222,380.77/1,811.64
  6. Step 6: Final answer
    x = 1,778.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.