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Finding the Fourth Proportional to 3,151.56, 4,727.22 and 843

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Solution

The fourth proportional to 3,151.56, 4,727.22 and 843 is: 1,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.56 : 4,727.22 = 843 : x
  2. Step 2: Convert to fraction form
    3,151.56/4,727.22 = 843/x
  3. Step 3: Cross multiply
    3,151.56x = 4,727.22 × 843
  4. Step 4: Simplify right side
    3,151.56x = 3,985,046.46
  5. Step 5: Solve for x
    x = 3,985,046.46/3,151.56
  6. Step 6: Final answer
    x = 1,264.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.