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Finding the Fourth Proportional to 2,218.14, 3,326.70 and 657.72

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Solution

The fourth proportional to 2,218.14, 3,326.70 and 657.72 is: 986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.14 : 3,326.70 = 657.72 : x
  2. Step 2: Convert to fraction form
    2,218.14/3,326.70 = 657.72/x
  3. Step 3: Cross multiply
    2,218.14x = 3,326.70 × 657.72
  4. Step 4: Simplify right side
    2,218.14x = 2,188,037.12
  5. Step 5: Solve for x
    x = 2,188,037.12/2,218.14
  6. Step 6: Final answer
    x = 986.43

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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.