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Finding the Fourth Proportional to 13,950.56, 20,908.05 and 6,538.69

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Solution

The fourth proportional to 13,950.56, 20,908.05 and 6,538.69 is: 9,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.56 : 20,908.05 = 6,538.69 : x
  2. Step 2: Convert to fraction form
    13,950.56/20,908.05 = 6,538.69/x
  3. Step 3: Cross multiply
    13,950.56x = 20,908.05 × 6,538.69
  4. Step 4: Simplify right side
    13,950.56x = 136,711,259.07
  5. Step 5: Solve for x
    x = 136,711,259.07/13,950.56
  6. Step 6: Final answer
    x = 9,799.70

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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.