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Finding the Fourth Proportional to 3,945.80, 5,889.81 and 3,478.74

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Solution

The fourth proportional to 3,945.80, 5,889.81 and 3,478.74 is: 5,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.80 : 5,889.81 = 3,478.74 : x
  2. Step 2: Convert to fraction form
    3,945.80/5,889.81 = 3,478.74/x
  3. Step 3: Cross multiply
    3,945.80x = 5,889.81 × 3,478.74
  4. Step 4: Simplify right side
    3,945.80x = 20,489,117.64
  5. Step 5: Solve for x
    x = 20,489,117.64/3,945.80
  6. Step 6: Final answer
    x = 5,192.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.