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Finding the Fourth Proportional to 3,456.54, 5,185.70 and 991.55

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Solution

The fourth proportional to 3,456.54, 5,185.70 and 991.55 is: 1,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.54 : 5,185.70 = 991.55 : x
  2. Step 2: Convert to fraction form
    3,456.54/5,185.70 = 991.55/x
  3. Step 3: Cross multiply
    3,456.54x = 5,185.70 × 991.55
  4. Step 4: Simplify right side
    3,456.54x = 5,141,849.95
  5. Step 5: Solve for x
    x = 5,141,849.95/3,456.54
  6. Step 6: Final answer
    x = 1,487.57

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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.