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Finding the Fourth Proportional to 11,450.99, 15,802.52 and 6,415.12

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Solution

The fourth proportional to 11,450.99, 15,802.52 and 6,415.12 is: 8,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.99 : 15,802.52 = 6,415.12 : x
  2. Step 2: Convert to fraction form
    11,450.99/15,802.52 = 6,415.12/x
  3. Step 3: Cross multiply
    11,450.99x = 15,802.52 × 6,415.12
  4. Step 4: Simplify right side
    11,450.99x = 101,375,049.78
  5. Step 5: Solve for x
    x = 101,375,049.78/11,450.99
  6. Step 6: Final answer
    x = 8,852.95

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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.