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Finding the Fourth Proportional to 2,197.42, 3,295.97 and 947.96

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Solution

The fourth proportional to 2,197.42, 3,295.97 and 947.96 is: 1,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.42 : 3,295.97 = 947.96 : x
  2. Step 2: Convert to fraction form
    2,197.42/3,295.97 = 947.96/x
  3. Step 3: Cross multiply
    2,197.42x = 3,295.97 × 947.96
  4. Step 4: Simplify right side
    2,197.42x = 3,124,426.50
  5. Step 5: Solve for x
    x = 3,124,426.50/2,197.42
  6. Step 6: Final answer
    x = 1,421.86

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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.