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Finding the Fourth Proportional to 2,770.86, 4,151.64 and 1,947.66

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Solution

The fourth proportional to 2,770.86, 4,151.64 and 1,947.66 is: 2,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.86 : 4,151.64 = 1,947.66 : x
  2. Step 2: Convert to fraction form
    2,770.86/4,151.64 = 1,947.66/x
  3. Step 3: Cross multiply
    2,770.86x = 4,151.64 × 1,947.66
  4. Step 4: Simplify right side
    2,770.86x = 8,085,983.16
  5. Step 5: Solve for x
    x = 8,085,983.16/2,770.86
  6. Step 6: Final answer
    x = 2,918.22

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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.