Home / 3,122-4,306.12-1,926.96

Finding the Fourth Proportional to 3,122, 4,306.12 and 1,926.96

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Solution

The fourth proportional to 3,122, 4,306.12 and 1,926.96 is: 2,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122 : 4,306.12 = 1,926.96 : x
  2. Step 2: Convert to fraction form
    3,122/4,306.12 = 1,926.96/x
  3. Step 3: Cross multiply
    3,122x = 4,306.12 × 1,926.96
  4. Step 4: Simplify right side
    3,122x = 8,297,721.00
  5. Step 5: Solve for x
    x = 8,297,721.00/3,122
  6. Step 6: Final answer
    x = 2,657.82

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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.