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Finding the Fourth Proportional to 2,178.68, 3,267.83 and 618.77

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Solution

The fourth proportional to 2,178.68, 3,267.83 and 618.77 is: 928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.68 : 3,267.83 = 618.77 : x
  2. Step 2: Convert to fraction form
    2,178.68/3,267.83 = 618.77/x
  3. Step 3: Cross multiply
    2,178.68x = 3,267.83 × 618.77
  4. Step 4: Simplify right side
    2,178.68x = 2,022,015.74
  5. Step 5: Solve for x
    x = 2,022,015.74/2,178.68
  6. Step 6: Final answer
    x = 928.09

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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.