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Finding the Fourth Proportional to 3,947, 5,430.60 and 3,849.80

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Solution

The fourth proportional to 3,947, 5,430.60 and 3,849.80 is: 5,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947 : 5,430.60 = 3,849.80 : x
  2. Step 2: Convert to fraction form
    3,947/5,430.60 = 3,849.80/x
  3. Step 3: Cross multiply
    3,947x = 5,430.60 × 3,849.80
  4. Step 4: Simplify right side
    3,947x = 20,906,723.88
  5. Step 5: Solve for x
    x = 20,906,723.88/3,947
  6. Step 6: Final answer
    x = 5,296.86

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1.5x scale

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.