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Finding the Fourth Proportional to 12,572.80, 18,861.62 and 4,781

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Solution

The fourth proportional to 12,572.80, 18,861.62 and 4,781 is: 7,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.80 : 18,861.62 = 4,781 : x
  2. Step 2: Convert to fraction form
    12,572.80/18,861.62 = 4,781/x
  3. Step 3: Cross multiply
    12,572.80x = 18,861.62 × 4,781
  4. Step 4: Simplify right side
    12,572.80x = 90,177,405.22
  5. Step 5: Solve for x
    x = 90,177,405.22/12,572.80
  6. Step 6: Final answer
    x = 7,172.42

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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.