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Finding the Fourth Proportional to 10,474.25, 15,707.86 and 5,540.99

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Solution

The fourth proportional to 10,474.25, 15,707.86 and 5,540.99 is: 8,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.25 : 15,707.86 = 5,540.99 : x
  2. Step 2: Convert to fraction form
    10,474.25/15,707.86 = 5,540.99/x
  3. Step 3: Cross multiply
    10,474.25x = 15,707.86 × 5,540.99
  4. Step 4: Simplify right side
    10,474.25x = 87,037,002.79
  5. Step 5: Solve for x
    x = 87,037,002.79/10,474.25
  6. Step 6: Final answer
    x = 8,309.62

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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.