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Finding the Fourth Proportional to 5,187.86, 7,765.11 and 2,719.22

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Solution

The fourth proportional to 5,187.86, 7,765.11 and 2,719.22 is: 4,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.86 : 7,765.11 = 2,719.22 : x
  2. Step 2: Convert to fraction form
    5,187.86/7,765.11 = 2,719.22/x
  3. Step 3: Cross multiply
    5,187.86x = 7,765.11 × 2,719.22
  4. Step 4: Simplify right side
    5,187.86x = 21,115,042.41
  5. Step 5: Solve for x
    x = 21,115,042.41/5,187.86
  6. Step 6: Final answer
    x = 4,070.09

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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.