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Finding the Fourth Proportional to 3,151.44, 4,727.16 and 842.94

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Solution

The fourth proportional to 3,151.44, 4,727.16 and 842.94 is: 1,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.44 : 4,727.16 = 842.94 : x
  2. Step 2: Convert to fraction form
    3,151.44/4,727.16 = 842.94/x
  3. Step 3: Cross multiply
    3,151.44x = 4,727.16 × 842.94
  4. Step 4: Simplify right side
    3,151.44x = 3,984,712.25
  5. Step 5: Solve for x
    x = 3,984,712.25/3,151.44
  6. Step 6: Final answer
    x = 1,264.41

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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.