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Finding the Fourth Proportional to 3,087.76, 4,631.62 and 779.26

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Solution

The fourth proportional to 3,087.76, 4,631.62 and 779.26 is: 1,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.76 : 4,631.62 = 779.26 : x
  2. Step 2: Convert to fraction form
    3,087.76/4,631.62 = 779.26/x
  3. Step 3: Cross multiply
    3,087.76x = 4,631.62 × 779.26
  4. Step 4: Simplify right side
    3,087.76x = 3,609,236.20
  5. Step 5: Solve for x
    x = 3,609,236.20/3,087.76
  6. Step 6: Final answer
    x = 1,168.88

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Similar ratio
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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.