Home / 1,405.92-2,118.41-1,167.78

Finding the Fourth Proportional to 1,405.92, 2,118.41 and 1,167.78

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Solution

The fourth proportional to 1,405.92, 2,118.41 and 1,167.78 is: 1,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.92 : 2,118.41 = 1,167.78 : x
  2. Step 2: Convert to fraction form
    1,405.92/2,118.41 = 1,167.78/x
  3. Step 3: Cross multiply
    1,405.92x = 2,118.41 × 1,167.78
  4. Step 4: Simplify right side
    1,405.92x = 2,473,835.37
  5. Step 5: Solve for x
    x = 2,473,835.37/1,405.92
  6. Step 6: Final answer
    x = 1,759.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.