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Finding the Fourth Proportional to 2,606.13, 3,909.06 and 658.22

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Solution

The fourth proportional to 2,606.13, 3,909.06 and 658.22 is: 987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.13 : 3,909.06 = 658.22 : x
  2. Step 2: Convert to fraction form
    2,606.13/3,909.06 = 658.22/x
  3. Step 3: Cross multiply
    2,606.13x = 3,909.06 × 658.22
  4. Step 4: Simplify right side
    2,606.13x = 2,573,001.93
  5. Step 5: Solve for x
    x = 2,573,001.93/2,606.13
  6. Step 6: Final answer
    x = 987.29

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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.