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Finding the Fourth Proportional to 3,108.87, 4,663.13 and 768.75

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Solution

The fourth proportional to 3,108.87, 4,663.13 and 768.75 is: 1,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.87 : 4,663.13 = 768.75 : x
  2. Step 2: Convert to fraction form
    3,108.87/4,663.13 = 768.75/x
  3. Step 3: Cross multiply
    3,108.87x = 4,663.13 × 768.75
  4. Step 4: Simplify right side
    3,108.87x = 3,584,777.34
  5. Step 5: Solve for x
    x = 3,584,777.34/3,108.87
  6. Step 6: Final answer
    x = 1,153.08

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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.