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Finding the Fourth Proportional to 2,790.87, 4,186.28 and 682.52

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Solution

The fourth proportional to 2,790.87, 4,186.28 and 682.52 is: 1,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.87 : 4,186.28 = 682.52 : x
  2. Step 2: Convert to fraction form
    2,790.87/4,186.28 = 682.52/x
  3. Step 3: Cross multiply
    2,790.87x = 4,186.28 × 682.52
  4. Step 4: Simplify right side
    2,790.87x = 2,857,195.48
  5. Step 5: Solve for x
    x = 2,857,195.48/2,790.87
  6. Step 6: Final answer
    x = 1,023.77

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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.