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Finding the Fourth Proportional to 12,581.69, 18,876.99 and 7,039.81

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Solution

The fourth proportional to 12,581.69, 18,876.99 and 7,039.81 is: 10,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.69 : 18,876.99 = 7,039.81 : x
  2. Step 2: Convert to fraction form
    12,581.69/18,876.99 = 7,039.81/x
  3. Step 3: Cross multiply
    12,581.69x = 18,876.99 × 7,039.81
  4. Step 4: Simplify right side
    12,581.69x = 132,890,328.59
  5. Step 5: Solve for x
    x = 132,890,328.59/12,581.69
  6. Step 6: Final answer
    x = 10,562.20

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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.