Home / 2,117.83-3,178.80-1,022.96

Finding the Fourth Proportional to 2,117.83, 3,178.80 and 1,022.96

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Solution

The fourth proportional to 2,117.83, 3,178.80 and 1,022.96 is: 1,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.83 : 3,178.80 = 1,022.96 : x
  2. Step 2: Convert to fraction form
    2,117.83/3,178.80 = 1,022.96/x
  3. Step 3: Cross multiply
    2,117.83x = 3,178.80 × 1,022.96
  4. Step 4: Simplify right side
    2,117.83x = 3,251,785.25
  5. Step 5: Solve for x
    x = 3,251,785.25/2,117.83
  6. Step 6: Final answer
    x = 1,535.43

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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.