Home / 7,677-11,518.20-3,784.14

Finding the Fourth Proportional to 7,677, 11,518.20 and 3,784.14

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Solution

The fourth proportional to 7,677, 11,518.20 and 3,784.14 is: 5,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 11,518.20 = 3,784.14 : x
  2. Step 2: Convert to fraction form
    7,677/11,518.20 = 3,784.14/x
  3. Step 3: Cross multiply
    7,677x = 11,518.20 × 3,784.14
  4. Step 4: Simplify right side
    7,677x = 43,586,481.35
  5. Step 5: Solve for x
    x = 43,586,481.35/7,677
  6. Step 6: Final answer
    x = 5,677.54

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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.