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Finding the Fourth Proportional to 1,817.76, 2,727.60 and 791.84

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Solution

The fourth proportional to 1,817.76, 2,727.60 and 791.84 is: 1,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.76 : 2,727.60 = 791.84 : x
  2. Step 2: Convert to fraction form
    1,817.76/2,727.60 = 791.84/x
  3. Step 3: Cross multiply
    1,817.76x = 2,727.60 × 791.84
  4. Step 4: Simplify right side
    1,817.76x = 2,159,822.78
  5. Step 5: Solve for x
    x = 2,159,822.78/1,817.76
  6. Step 6: Final answer
    x = 1,188.18

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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.