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Finding the Fourth Proportional to 7,241.32, 9,993.01 and 3,929.32

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Solution

The fourth proportional to 7,241.32, 9,993.01 and 3,929.32 is: 5,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.32 : 9,993.01 = 3,929.32 : x
  2. Step 2: Convert to fraction form
    7,241.32/9,993.01 = 3,929.32/x
  3. Step 3: Cross multiply
    7,241.32x = 9,993.01 × 3,929.32
  4. Step 4: Simplify right side
    7,241.32x = 39,265,684.09
  5. Step 5: Solve for x
    x = 39,265,684.09/7,241.32
  6. Step 6: Final answer
    x = 5,422.45

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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.