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Finding the Fourth Proportional to 3,182.77, 4,773.60 and 842.80

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Solution

The fourth proportional to 3,182.77, 4,773.60 and 842.80 is: 1,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.77 : 4,773.60 = 842.80 : x
  2. Step 2: Convert to fraction form
    3,182.77/4,773.60 = 842.80/x
  3. Step 3: Cross multiply
    3,182.77x = 4,773.60 × 842.80
  4. Step 4: Simplify right side
    3,182.77x = 4,023,190.08
  5. Step 5: Solve for x
    x = 4,023,190.08/3,182.77
  6. Step 6: Final answer
    x = 1,264.05

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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.