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Finding the Fourth Proportional to 2,166.11, 3,248.81 and 779.19

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Solution

The fourth proportional to 2,166.11, 3,248.81 and 779.19 is: 1,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.11 : 3,248.81 = 779.19 : x
  2. Step 2: Convert to fraction form
    2,166.11/3,248.81 = 779.19/x
  3. Step 3: Cross multiply
    2,166.11x = 3,248.81 × 779.19
  4. Step 4: Simplify right side
    2,166.11x = 2,531,449.76
  5. Step 5: Solve for x
    x = 2,531,449.76/2,166.11
  6. Step 6: Final answer
    x = 1,168.66

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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.