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Finding the Fourth Proportional to 5,197.23, 7,781.87 and 3,958.74

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Solution

The fourth proportional to 5,197.23, 7,781.87 and 3,958.74 is: 5,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.23 : 7,781.87 = 3,958.74 : x
  2. Step 2: Convert to fraction form
    5,197.23/7,781.87 = 3,958.74/x
  3. Step 3: Cross multiply
    5,197.23x = 7,781.87 × 3,958.74
  4. Step 4: Simplify right side
    5,197.23x = 30,806,409.94
  5. Step 5: Solve for x
    x = 30,806,409.94/5,197.23
  6. Step 6: Final answer
    x = 5,927.47

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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.