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Finding the Fourth Proportional to 2,178.35, 3,268.07 and 618.36

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Solution

The fourth proportional to 2,178.35, 3,268.07 and 618.36 is: 927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.35 : 3,268.07 = 618.36 : x
  2. Step 2: Convert to fraction form
    2,178.35/3,268.07 = 618.36/x
  3. Step 3: Cross multiply
    2,178.35x = 3,268.07 × 618.36
  4. Step 4: Simplify right side
    2,178.35x = 2,020,843.77
  5. Step 5: Solve for x
    x = 2,020,843.77/2,178.35
  6. Step 6: Final answer
    x = 927.69

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1.5x scale

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.