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Finding the Fourth Proportional to 14,969.88, 20,657.48 and 8,255.12

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Solution

The fourth proportional to 14,969.88, 20,657.48 and 8,255.12 is: 11,391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.88 : 20,657.48 = 8,255.12 : x
  2. Step 2: Convert to fraction form
    14,969.88/20,657.48 = 8,255.12/x
  3. Step 3: Cross multiply
    14,969.88x = 20,657.48 × 8,255.12
  4. Step 4: Simplify right side
    14,969.88x = 170,529,976.30
  5. Step 5: Solve for x
    x = 170,529,976.30/14,969.88
  6. Step 6: Final answer
    x = 11,391.54

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1.5x scale

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.