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Finding the Fourth Proportional to 15,142.50, 20,896.65 and 8,518.50

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Solution

The fourth proportional to 15,142.50, 20,896.65 and 8,518.50 is: 11,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.50 : 20,896.65 = 8,518.50 : x
  2. Step 2: Convert to fraction form
    15,142.50/20,896.65 = 8,518.50/x
  3. Step 3: Cross multiply
    15,142.50x = 20,896.65 × 8,518.50
  4. Step 4: Simplify right side
    15,142.50x = 178,008,113.03
  5. Step 5: Solve for x
    x = 178,008,113.03/15,142.50
  6. Step 6: Final answer
    x = 11,755.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.