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Finding the Fourth Proportional to 2,770.47, 4,151.27 and 1,939.10

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Solution

The fourth proportional to 2,770.47, 4,151.27 and 1,939.10 is: 2,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.47 : 4,151.27 = 1,939.10 : x
  2. Step 2: Convert to fraction form
    2,770.47/4,151.27 = 1,939.10/x
  3. Step 3: Cross multiply
    2,770.47x = 4,151.27 × 1,939.10
  4. Step 4: Simplify right side
    2,770.47x = 8,049,727.66
  5. Step 5: Solve for x
    x = 8,049,727.66/2,770.47
  6. Step 6: Final answer
    x = 2,905.55

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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.