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Finding the Fourth Proportional to 2,046.13, 3,069.12 and 659.54

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Solution

The fourth proportional to 2,046.13, 3,069.12 and 659.54 is: 989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.13 : 3,069.12 = 659.54 : x
  2. Step 2: Convert to fraction form
    2,046.13/3,069.12 = 659.54/x
  3. Step 3: Cross multiply
    2,046.13x = 3,069.12 × 659.54
  4. Step 4: Simplify right side
    2,046.13x = 2,024,207.40
  5. Step 5: Solve for x
    x = 2,024,207.40/2,046.13
  6. Step 6: Final answer
    x = 989.29

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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.