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Finding the Fourth Proportional to 12,489.03, 17,235.26 and 6,824.31

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Solution

The fourth proportional to 12,489.03, 17,235.26 and 6,824.31 is: 9,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.03 : 17,235.26 = 6,824.31 : x
  2. Step 2: Convert to fraction form
    12,489.03/17,235.26 = 6,824.31/x
  3. Step 3: Cross multiply
    12,489.03x = 17,235.26 × 6,824.31
  4. Step 4: Simplify right side
    12,489.03x = 117,618,723.05
  5. Step 5: Solve for x
    x = 117,618,723.05/12,489.03
  6. Step 6: Final answer
    x = 9,417.76

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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.