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Finding the Fourth Proportional to 5,161.84, 7,749.84 and 2,665.11

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Solution

The fourth proportional to 5,161.84, 7,749.84 and 2,665.11 is: 4,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.84 : 7,749.84 = 2,665.11 : x
  2. Step 2: Convert to fraction form
    5,161.84/7,749.84 = 2,665.11/x
  3. Step 3: Cross multiply
    5,161.84x = 7,749.84 × 2,665.11
  4. Step 4: Simplify right side
    5,161.84x = 20,654,176.08
  5. Step 5: Solve for x
    x = 20,654,176.08/5,161.84
  6. Step 6: Final answer
    x = 4,001.32

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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.