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Finding the Fourth Proportional to 4,624, 6,378.89 and 3,029.96

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Solution

The fourth proportional to 4,624, 6,378.89 and 3,029.96 is: 4,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624 : 6,378.89 = 3,029.96 : x
  2. Step 2: Convert to fraction form
    4,624/6,378.89 = 3,029.96/x
  3. Step 3: Cross multiply
    4,624x = 6,378.89 × 3,029.96
  4. Step 4: Simplify right side
    4,624x = 19,327,781.54
  5. Step 5: Solve for x
    x = 19,327,781.54/4,624
  6. Step 6: Final answer
    x = 4,179.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.