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Finding the Fourth Proportional to 13,951.34, 20,909.22 and 6,539.45

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Solution

The fourth proportional to 13,951.34, 20,909.22 and 6,539.45 is: 9,800.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.34 : 20,909.22 = 6,539.45 : x
  2. Step 2: Convert to fraction form
    13,951.34/20,909.22 = 6,539.45/x
  3. Step 3: Cross multiply
    13,951.34x = 20,909.22 × 6,539.45
  4. Step 4: Simplify right side
    13,951.34x = 136,734,798.73
  5. Step 5: Solve for x
    x = 136,734,798.73/13,951.34
  6. Step 6: Final answer
    x = 9,800.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.