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Finding the Fourth Proportional to 2,093.44, 3,140.27 and 612.65

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Solution

The fourth proportional to 2,093.44, 3,140.27 and 612.65 is: 919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.44 : 3,140.27 = 612.65 : x
  2. Step 2: Convert to fraction form
    2,093.44/3,140.27 = 612.65/x
  3. Step 3: Cross multiply
    2,093.44x = 3,140.27 × 612.65
  4. Step 4: Simplify right side
    2,093.44x = 1,923,891.20
  5. Step 5: Solve for x
    x = 1,923,891.20/2,093.44
  6. Step 6: Final answer
    x = 919.01

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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.