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Finding the Fourth Proportional to 2,093.76, 3,137.94 and 859.69

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Solution

The fourth proportional to 2,093.76, 3,137.94 and 859.69 is: 1,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.76 : 3,137.94 = 859.69 : x
  2. Step 2: Convert to fraction form
    2,093.76/3,137.94 = 859.69/x
  3. Step 3: Cross multiply
    2,093.76x = 3,137.94 × 859.69
  4. Step 4: Simplify right side
    2,093.76x = 2,697,655.64
  5. Step 5: Solve for x
    x = 2,697,655.64/2,093.76
  6. Step 6: Final answer
    x = 1,288.43

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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.