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Finding the Fourth Proportional to 12,129, 18,193.34 and 4,231.50

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Solution

The fourth proportional to 12,129, 18,193.34 and 4,231.50 is: 6,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129 : 18,193.34 = 4,231.50 : x
  2. Step 2: Convert to fraction form
    12,129/18,193.34 = 4,231.50/x
  3. Step 3: Cross multiply
    12,129x = 18,193.34 × 4,231.50
  4. Step 4: Simplify right side
    12,129x = 76,985,128.79
  5. Step 5: Solve for x
    x = 76,985,128.79/12,129
  6. Step 6: Final answer
    x = 6,347.20

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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.