Home / 7,784.36-11,680.86-3,167

Finding the Fourth Proportional to 7,784.36, 11,680.86 and 3,167

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Solution

The fourth proportional to 7,784.36, 11,680.86 and 3,167 is: 4,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.36 : 11,680.86 = 3,167 : x
  2. Step 2: Convert to fraction form
    7,784.36/11,680.86 = 3,167/x
  3. Step 3: Cross multiply
    7,784.36x = 11,680.86 × 3,167
  4. Step 4: Simplify right side
    7,784.36x = 36,993,283.62
  5. Step 5: Solve for x
    x = 36,993,283.62/7,784.36
  6. Step 6: Final answer
    x = 4,752.26

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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.