Home / 2,134.22-3,208.01-1,408.46

Finding the Fourth Proportional to 2,134.22, 3,208.01 and 1,408.46

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Solution

The fourth proportional to 2,134.22, 3,208.01 and 1,408.46 is: 2,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.22 : 3,208.01 = 1,408.46 : x
  2. Step 2: Convert to fraction form
    2,134.22/3,208.01 = 1,408.46/x
  3. Step 3: Cross multiply
    2,134.22x = 3,208.01 × 1,408.46
  4. Step 4: Simplify right side
    2,134.22x = 4,518,330.68
  5. Step 5: Solve for x
    x = 4,518,330.68/2,134.22
  6. Step 6: Final answer
    x = 2,117.09

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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.