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Finding the Fourth Proportional to 14,969.34, 20,657.84 and 8,255.25

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Solution

The fourth proportional to 14,969.34, 20,657.84 and 8,255.25 is: 11,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.34 : 20,657.84 = 8,255.25 : x
  2. Step 2: Convert to fraction form
    14,969.34/20,657.84 = 8,255.25/x
  3. Step 3: Cross multiply
    14,969.34x = 20,657.84 × 8,255.25
  4. Step 4: Simplify right side
    14,969.34x = 170,535,633.66
  5. Step 5: Solve for x
    x = 170,535,633.66/14,969.34
  6. Step 6: Final answer
    x = 11,392.33

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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.