Home / 2,206.96-3,046.44-1,421.68

Finding the Fourth Proportional to 2,206.96, 3,046.44 and 1,421.68

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Solution

The fourth proportional to 2,206.96, 3,046.44 and 1,421.68 is: 1,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.96 : 3,046.44 = 1,421.68 : x
  2. Step 2: Convert to fraction form
    2,206.96/3,046.44 = 1,421.68/x
  3. Step 3: Cross multiply
    2,206.96x = 3,046.44 × 1,421.68
  4. Step 4: Simplify right side
    2,206.96x = 4,331,062.82
  5. Step 5: Solve for x
    x = 4,331,062.82/2,206.96
  6. Step 6: Final answer
    x = 1,962.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.