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Finding the Fourth Proportional to 2,776.82, 4,165.92 and 927.95

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Solution

The fourth proportional to 2,776.82, 4,165.92 and 927.95 is: 1,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.82 : 4,165.92 = 927.95 : x
  2. Step 2: Convert to fraction form
    2,776.82/4,165.92 = 927.95/x
  3. Step 3: Cross multiply
    2,776.82x = 4,165.92 × 927.95
  4. Step 4: Simplify right side
    2,776.82x = 3,865,744.63
  5. Step 5: Solve for x
    x = 3,865,744.63/2,776.82
  6. Step 6: Final answer
    x = 1,392.15

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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.