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Finding the Fourth Proportional to 12,729, 19,099.62 and 9,627.96

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Solution

The fourth proportional to 12,729, 19,099.62 and 9,627.96 is: 14,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729 : 19,099.62 = 9,627.96 : x
  2. Step 2: Convert to fraction form
    12,729/19,099.62 = 9,627.96/x
  3. Step 3: Cross multiply
    12,729x = 19,099.62 × 9,627.96
  4. Step 4: Simplify right side
    12,729x = 183,890,377.38
  5. Step 5: Solve for x
    x = 183,890,377.38/12,729
  6. Step 6: Final answer
    x = 14,446.57

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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.