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Finding the Fourth Proportional to 2,606.14, 3,909.20 and 658.34

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Solution

The fourth proportional to 2,606.14, 3,909.20 and 658.34 is: 987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.14 : 3,909.20 = 658.34 : x
  2. Step 2: Convert to fraction form
    2,606.14/3,909.20 = 658.34/x
  3. Step 3: Cross multiply
    2,606.14x = 3,909.20 × 658.34
  4. Step 4: Simplify right side
    2,606.14x = 2,573,596.54
  5. Step 5: Solve for x
    x = 2,573,596.54/2,606.14
  6. Step 6: Final answer
    x = 987.51

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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.