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Finding the Fourth Proportional to 3,081.44, 4,622.32 and 772.96

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Solution

The fourth proportional to 3,081.44, 4,622.32 and 772.96 is: 1,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.44 : 4,622.32 = 772.96 : x
  2. Step 2: Convert to fraction form
    3,081.44/4,622.32 = 772.96/x
  3. Step 3: Cross multiply
    3,081.44x = 4,622.32 × 772.96
  4. Step 4: Simplify right side
    3,081.44x = 3,572,868.47
  5. Step 5: Solve for x
    x = 3,572,868.47/3,081.44
  6. Step 6: Final answer
    x = 1,159.48

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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.