Home / 8,072.60-11,109.84-6,830

Finding the Fourth Proportional to 8,072.60, 11,109.84 and 6,830

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Solution

The fourth proportional to 8,072.60, 11,109.84 and 6,830 is: 9,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.60 : 11,109.84 = 6,830 : x
  2. Step 2: Convert to fraction form
    8,072.60/11,109.84 = 6,830/x
  3. Step 3: Cross multiply
    8,072.60x = 11,109.84 × 6,830
  4. Step 4: Simplify right side
    8,072.60x = 75,880,207.20
  5. Step 5: Solve for x
    x = 75,880,207.20/8,072.60
  6. Step 6: Final answer
    x = 9,399.72

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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.