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Finding the Fourth Proportional to 10,090, 15,135.36 and 2,694.88

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Solution

The fourth proportional to 10,090, 15,135.36 and 2,694.88 is: 4,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090 : 15,135.36 = 2,694.88 : x
  2. Step 2: Convert to fraction form
    10,090/15,135.36 = 2,694.88/x
  3. Step 3: Cross multiply
    10,090x = 15,135.36 × 2,694.88
  4. Step 4: Simplify right side
    10,090x = 40,787,978.96
  5. Step 5: Solve for x
    x = 40,787,978.96/10,090
  6. Step 6: Final answer
    x = 4,042.42

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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.