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Finding the Fourth Proportional to 2,054.32, 3,080.76 and 667.28

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Solution

The fourth proportional to 2,054.32, 3,080.76 and 667.28 is: 1,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.32 : 3,080.76 = 667.28 : x
  2. Step 2: Convert to fraction form
    2,054.32/3,080.76 = 667.28/x
  3. Step 3: Cross multiply
    2,054.32x = 3,080.76 × 667.28
  4. Step 4: Simplify right side
    2,054.32x = 2,055,729.53
  5. Step 5: Solve for x
    x = 2,055,729.53/2,054.32
  6. Step 6: Final answer
    x = 1,000.69

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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.