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Finding the Fourth Proportional to 10,268, 15,402.74 and 4,112

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Solution

The fourth proportional to 10,268, 15,402.74 and 4,112 is: 6,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268 : 15,402.74 = 4,112 : x
  2. Step 2: Convert to fraction form
    10,268/15,402.74 = 4,112/x
  3. Step 3: Cross multiply
    10,268x = 15,402.74 × 4,112
  4. Step 4: Simplify right side
    10,268x = 63,336,066.88
  5. Step 5: Solve for x
    x = 63,336,066.88/10,268
  6. Step 6: Final answer
    x = 6,168.30

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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.