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Finding the Fourth Proportional to 13,887.41, 20,821.85 and 7,650.41

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Solution

The fourth proportional to 13,887.41, 20,821.85 and 7,650.41 is: 11,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.41 : 20,821.85 = 7,650.41 : x
  2. Step 2: Convert to fraction form
    13,887.41/20,821.85 = 7,650.41/x
  3. Step 3: Cross multiply
    13,887.41x = 20,821.85 × 7,650.41
  4. Step 4: Simplify right side
    13,887.41x = 159,295,651.21
  5. Step 5: Solve for x
    x = 159,295,651.21/13,887.41
  6. Step 6: Final answer
    x = 11,470.51

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1.5x scale

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.