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Finding the Fourth Proportional to 13,800.24, 19,044.86 and 7,832.16

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Solution

The fourth proportional to 13,800.24, 19,044.86 and 7,832.16 is: 10,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.24 : 19,044.86 = 7,832.16 : x
  2. Step 2: Convert to fraction form
    13,800.24/19,044.86 = 7,832.16/x
  3. Step 3: Cross multiply
    13,800.24x = 19,044.86 × 7,832.16
  4. Step 4: Simplify right side
    13,800.24x = 149,162,351.54
  5. Step 5: Solve for x
    x = 149,162,351.54/13,800.24
  6. Step 6: Final answer
    x = 10,808.68

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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.