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Finding the Fourth Proportional to 2,178.39, 3,267.32 and 618.51

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Solution

The fourth proportional to 2,178.39, 3,267.32 and 618.51 is: 927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.39 : 3,267.32 = 618.51 : x
  2. Step 2: Convert to fraction form
    2,178.39/3,267.32 = 618.51/x
  3. Step 3: Cross multiply
    2,178.39x = 3,267.32 × 618.51
  4. Step 4: Simplify right side
    2,178.39x = 2,020,867.00
  5. Step 5: Solve for x
    x = 2,020,867.00/2,178.39
  6. Step 6: Final answer
    x = 927.69

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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.