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Finding the Fourth Proportional to 3,970.33, 5,938.99 and 3,609.47

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Solution

The fourth proportional to 3,970.33, 5,938.99 and 3,609.47 is: 5,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.33 : 5,938.99 = 3,609.47 : x
  2. Step 2: Convert to fraction form
    3,970.33/5,938.99 = 3,609.47/x
  3. Step 3: Cross multiply
    3,970.33x = 5,938.99 × 3,609.47
  4. Step 4: Simplify right side
    3,970.33x = 21,436,612.06
  5. Step 5: Solve for x
    x = 21,436,612.06/3,970.33
  6. Step 6: Final answer
    x = 5,399.20

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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.