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Finding the Fourth Proportional to 9,141.99, 13,731.44 and 5,451.45

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Solution

The fourth proportional to 9,141.99, 13,731.44 and 5,451.45 is: 8,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.99 : 13,731.44 = 5,451.45 : x
  2. Step 2: Convert to fraction form
    9,141.99/13,731.44 = 5,451.45/x
  3. Step 3: Cross multiply
    9,141.99x = 13,731.44 × 5,451.45
  4. Step 4: Simplify right side
    9,141.99x = 74,856,231.33
  5. Step 5: Solve for x
    x = 74,856,231.33/9,141.99
  6. Step 6: Final answer
    x = 8,188.18

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Why These Related Problems?

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