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Finding the Fourth Proportional to 12,487.40, 17,224.68 and 9,496.68

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Solution

The fourth proportional to 12,487.40, 17,224.68 and 9,496.68 is: 13,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,487.40 : 17,224.68 = 9,496.68 : x
  2. Step 2: Convert to fraction form
    12,487.40/17,224.68 = 9,496.68/x
  3. Step 3: Cross multiply
    12,487.40x = 17,224.68 × 9,496.68
  4. Step 4: Simplify right side
    12,487.40x = 163,577,245.08
  5. Step 5: Solve for x
    x = 163,577,245.08/12,487.40
  6. Step 6: Final answer
    x = 13,099.39

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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.