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Finding the Fourth Proportional to 2,093.19, 3,141 and 1,651.74

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Solution

The fourth proportional to 2,093.19, 3,141 and 1,651.74 is: 2,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.19 : 3,141 = 1,651.74 : x
  2. Step 2: Convert to fraction form
    2,093.19/3,141 = 1,651.74/x
  3. Step 3: Cross multiply
    2,093.19x = 3,141 × 1,651.74
  4. Step 4: Simplify right side
    2,093.19x = 5,188,115.34
  5. Step 5: Solve for x
    x = 5,188,115.34/2,093.19
  6. Step 6: Final answer
    x = 2,478.57

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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.