Home / 5,682-7,836.12-3,690.66

Finding the Fourth Proportional to 5,682, 7,836.12 and 3,690.66

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Solution

The fourth proportional to 5,682, 7,836.12 and 3,690.66 is: 5,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682 : 7,836.12 = 3,690.66 : x
  2. Step 2: Convert to fraction form
    5,682/7,836.12 = 3,690.66/x
  3. Step 3: Cross multiply
    5,682x = 7,836.12 × 3,690.66
  4. Step 4: Simplify right side
    5,682x = 28,920,454.64
  5. Step 5: Solve for x
    x = 28,920,454.64/5,682
  6. Step 6: Final answer
    x = 5,089.84

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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.