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Finding the Fourth Proportional to 12,609.66, 18,916.89 and 3,845.82

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Solution

The fourth proportional to 12,609.66, 18,916.89 and 3,845.82 is: 5,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.66 : 18,916.89 = 3,845.82 : x
  2. Step 2: Convert to fraction form
    12,609.66/18,916.89 = 3,845.82/x
  3. Step 3: Cross multiply
    12,609.66x = 18,916.89 × 3,845.82
  4. Step 4: Simplify right side
    12,609.66x = 72,750,953.90
  5. Step 5: Solve for x
    x = 72,750,953.90/12,609.66
  6. Step 6: Final answer
    x = 5,769.46

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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.