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Finding the Fourth Proportional to 2,791.86, 4,186.81 and 816.95

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Solution

The fourth proportional to 2,791.86, 4,186.81 and 816.95 is: 1,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.86 : 4,186.81 = 816.95 : x
  2. Step 2: Convert to fraction form
    2,791.86/4,186.81 = 816.95/x
  3. Step 3: Cross multiply
    2,791.86x = 4,186.81 × 816.95
  4. Step 4: Simplify right side
    2,791.86x = 3,420,394.52
  5. Step 5: Solve for x
    x = 3,420,394.52/2,791.86
  6. Step 6: Final answer
    x = 1,225.13

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1.5x scale

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.