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Finding the Fourth Proportional to 10,080, 15,120 and 3,928.32

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Solution

The fourth proportional to 10,080, 15,120 and 3,928.32 is: 5,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 15,120 = 3,928.32 : x
  2. Step 2: Convert to fraction form
    10,080/15,120 = 3,928.32/x
  3. Step 3: Cross multiply
    10,080x = 15,120 × 3,928.32
  4. Step 4: Simplify right side
    10,080x = 59,396,198.40
  5. Step 5: Solve for x
    x = 59,396,198.40/10,080
  6. Step 6: Final answer
    x = 5,892.48

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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.