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Finding the Fourth Proportional to 2,118.11, 3,177.66 and 657.19

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Solution

The fourth proportional to 2,118.11, 3,177.66 and 657.19 is: 985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.11 : 3,177.66 = 657.19 : x
  2. Step 2: Convert to fraction form
    2,118.11/3,177.66 = 657.19/x
  3. Step 3: Cross multiply
    2,118.11x = 3,177.66 × 657.19
  4. Step 4: Simplify right side
    2,118.11x = 2,088,310.49
  5. Step 5: Solve for x
    x = 2,088,310.49/2,118.11
  6. Step 6: Final answer
    x = 985.93

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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.