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Finding the Fourth Proportional to 15,133.50, 20,887.11 and 8,509.50

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Solution

The fourth proportional to 15,133.50, 20,887.11 and 8,509.50 is: 11,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133.50 : 20,887.11 = 8,509.50 : x
  2. Step 2: Convert to fraction form
    15,133.50/20,887.11 = 8,509.50/x
  3. Step 3: Cross multiply
    15,133.50x = 20,887.11 × 8,509.50
  4. Step 4: Simplify right side
    15,133.50x = 177,738,862.55
  5. Step 5: Solve for x
    x = 177,738,862.55/15,133.50
  6. Step 6: Final answer
    x = 11,744.73

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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.