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Finding the Fourth Proportional to 2,001.82, 3,000.67 and 768.91

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Solution

The fourth proportional to 2,001.82, 3,000.67 and 768.91 is: 1,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.82 : 3,000.67 = 768.91 : x
  2. Step 2: Convert to fraction form
    2,001.82/3,000.67 = 768.91/x
  3. Step 3: Cross multiply
    2,001.82x = 3,000.67 × 768.91
  4. Step 4: Simplify right side
    2,001.82x = 2,307,245.17
  5. Step 5: Solve for x
    x = 2,307,245.17/2,001.82
  6. Step 6: Final answer
    x = 1,152.57

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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.