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Finding the Fourth Proportional to 3,147, 4,720.52 and 838.50

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Solution

The fourth proportional to 3,147, 4,720.52 and 838.50 is: 1,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147 : 4,720.52 = 838.50 : x
  2. Step 2: Convert to fraction form
    3,147/4,720.52 = 838.50/x
  3. Step 3: Cross multiply
    3,147x = 4,720.52 × 838.50
  4. Step 4: Simplify right side
    3,147x = 3,958,151.83
  5. Step 5: Solve for x
    x = 3,958,151.83/3,147
  6. Step 6: Final answer
    x = 1,257.75

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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.