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Finding the Fourth Proportional to 2,031.33, 3,046.68 and 644.48

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Solution

The fourth proportional to 2,031.33, 3,046.68 and 644.48 is: 966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.33 : 3,046.68 = 644.48 : x
  2. Step 2: Convert to fraction form
    2,031.33/3,046.68 = 644.48/x
  3. Step 3: Cross multiply
    2,031.33x = 3,046.68 × 644.48
  4. Step 4: Simplify right side
    2,031.33x = 1,963,527.88
  5. Step 5: Solve for x
    x = 1,963,527.88/2,031.33
  6. Step 6: Final answer
    x = 966.62

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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.