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Finding the Fourth Proportional to 2,760.48, 3,805.02 and 2,161.89

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Solution

The fourth proportional to 2,760.48, 3,805.02 and 2,161.89 is: 2,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.48 : 3,805.02 = 2,161.89 : x
  2. Step 2: Convert to fraction form
    2,760.48/3,805.02 = 2,161.89/x
  3. Step 3: Cross multiply
    2,760.48x = 3,805.02 × 2,161.89
  4. Step 4: Simplify right side
    2,760.48x = 8,226,034.69
  5. Step 5: Solve for x
    x = 8,226,034.69/2,760.48
  6. Step 6: Final answer
    x = 2,979.93

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1.5x scale

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.