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Finding the Fourth Proportional to 12,252, 18,321.93 and 9,134.13

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Solution

The fourth proportional to 12,252, 18,321.93 and 9,134.13 is: 13,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252 : 18,321.93 = 9,134.13 : x
  2. Step 2: Convert to fraction form
    12,252/18,321.93 = 9,134.13/x
  3. Step 3: Cross multiply
    12,252x = 18,321.93 × 9,134.13
  4. Step 4: Simplify right side
    12,252x = 167,354,890.47
  5. Step 5: Solve for x
    x = 167,354,890.47/12,252
  6. Step 6: Final answer
    x = 13,659.39

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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.