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Finding the Fourth Proportional to 10,287.82, 15,431.82 and 2,496.64

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Solution

The fourth proportional to 10,287.82, 15,431.82 and 2,496.64 is: 3,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.82 : 15,431.82 = 2,496.64 : x
  2. Step 2: Convert to fraction form
    10,287.82/15,431.82 = 2,496.64/x
  3. Step 3: Cross multiply
    10,287.82x = 15,431.82 × 2,496.64
  4. Step 4: Simplify right side
    10,287.82x = 38,527,699.08
  5. Step 5: Solve for x
    x = 38,527,699.08/10,287.82
  6. Step 6: Final answer
    x = 3,744.98

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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.