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Finding the Fourth Proportional to 2,197.98, 3,296.45 and 637.56

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Solution

The fourth proportional to 2,197.98, 3,296.45 and 637.56 is: 956.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.98 : 3,296.45 = 637.56 : x
  2. Step 2: Convert to fraction form
    2,197.98/3,296.45 = 637.56/x
  3. Step 3: Cross multiply
    2,197.98x = 3,296.45 × 637.56
  4. Step 4: Simplify right side
    2,197.98x = 2,101,684.66
  5. Step 5: Solve for x
    x = 2,101,684.66/2,197.98
  6. Step 6: Final answer
    x = 956.19

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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.