Home / 1,421.07-2,131.71-496.86

Finding the Fourth Proportional to 1,421.07, 2,131.71 and 496.86

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Solution

The fourth proportional to 1,421.07, 2,131.71 and 496.86 is: 745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.07 : 2,131.71 = 496.86 : x
  2. Step 2: Convert to fraction form
    1,421.07/2,131.71 = 496.86/x
  3. Step 3: Cross multiply
    1,421.07x = 2,131.71 × 496.86
  4. Step 4: Simplify right side
    1,421.07x = 1,059,161.43
  5. Step 5: Solve for x
    x = 1,059,161.43/1,421.07
  6. Step 6: Final answer
    x = 745.33

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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.