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Finding the Fourth Proportional to 14,969.34, 20,657.82 and 8,255.22

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Solution

The fourth proportional to 14,969.34, 20,657.82 and 8,255.22 is: 11,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.34 : 20,657.82 = 8,255.22 : x
  2. Step 2: Convert to fraction form
    14,969.34/20,657.82 = 8,255.22/x
  3. Step 3: Cross multiply
    14,969.34x = 20,657.82 × 8,255.22
  4. Step 4: Simplify right side
    14,969.34x = 170,534,848.82
  5. Step 5: Solve for x
    x = 170,534,848.82/14,969.34
  6. Step 6: Final answer
    x = 11,392.28

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