Home / 1,406.26-2,108.14-711.95

Finding the Fourth Proportional to 1,406.26, 2,108.14 and 711.95

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Solution

The fourth proportional to 1,406.26, 2,108.14 and 711.95 is: 1,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.26 : 2,108.14 = 711.95 : x
  2. Step 2: Convert to fraction form
    1,406.26/2,108.14 = 711.95/x
  3. Step 3: Cross multiply
    1,406.26x = 2,108.14 × 711.95
  4. Step 4: Simplify right side
    1,406.26x = 1,500,890.27
  5. Step 5: Solve for x
    x = 1,500,890.27/1,406.26
  6. Step 6: Final answer
    x = 1,067.29

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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.