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Finding the Fourth Proportional to 10,736.66, 16,115.92 and 7,405.14

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Solution

The fourth proportional to 10,736.66, 16,115.92 and 7,405.14 is: 11,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.66 : 16,115.92 = 7,405.14 : x
  2. Step 2: Convert to fraction form
    10,736.66/16,115.92 = 7,405.14/x
  3. Step 3: Cross multiply
    10,736.66x = 16,115.92 × 7,405.14
  4. Step 4: Simplify right side
    10,736.66x = 119,340,643.83
  5. Step 5: Solve for x
    x = 119,340,643.83/10,736.66
  6. Step 6: Final answer
    x = 11,115.25

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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.