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Finding the Fourth Proportional to 12,468, 17,204.61 and 8,699.27

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Solution

The fourth proportional to 12,468, 17,204.61 and 8,699.27 is: 12,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468 : 17,204.61 = 8,699.27 : x
  2. Step 2: Convert to fraction form
    12,468/17,204.61 = 8,699.27/x
  3. Step 3: Cross multiply
    12,468x = 17,204.61 × 8,699.27
  4. Step 4: Simplify right side
    12,468x = 149,667,461.61
  5. Step 5: Solve for x
    x = 149,667,461.61/12,468
  6. Step 6: Final answer
    x = 12,004.13

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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.