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Finding the Fourth Proportional to 12,572.92, 18,865.88 and 7,022.80

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Solution

The fourth proportional to 12,572.92, 18,865.88 and 7,022.80 is: 10,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.92 : 18,865.88 = 7,022.80 : x
  2. Step 2: Convert to fraction form
    12,572.92/18,865.88 = 7,022.80/x
  3. Step 3: Cross multiply
    12,572.92x = 18,865.88 × 7,022.80
  4. Step 4: Simplify right side
    12,572.92x = 132,491,302.06
  5. Step 5: Solve for x
    x = 132,491,302.06/12,572.92
  6. Step 6: Final answer
    x = 10,537.83

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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.