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Finding the Fourth Proportional to 5,234.78, 7,841.79 and 3,155.33

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Solution

The fourth proportional to 5,234.78, 7,841.79 and 3,155.33 is: 4,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.78 : 7,841.79 = 3,155.33 : x
  2. Step 2: Convert to fraction form
    5,234.78/7,841.79 = 3,155.33/x
  3. Step 3: Cross multiply
    5,234.78x = 7,841.79 × 3,155.33
  4. Step 4: Simplify right side
    5,234.78x = 24,743,435.24
  5. Step 5: Solve for x
    x = 24,743,435.24/5,234.78
  6. Step 6: Final answer
    x = 4,726.74

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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.