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Finding the Fourth Proportional to 13,653.18, 20,491.92 and 7,083.90

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Solution

The fourth proportional to 13,653.18, 20,491.92 and 7,083.90 is: 10,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.18 : 20,491.92 = 7,083.90 : x
  2. Step 2: Convert to fraction form
    13,653.18/20,491.92 = 7,083.90/x
  3. Step 3: Cross multiply
    13,653.18x = 20,491.92 × 7,083.90
  4. Step 4: Simplify right side
    13,653.18x = 145,162,712.09
  5. Step 5: Solve for x
    x = 145,162,712.09/13,653.18
  6. Step 6: Final answer
    x = 10,632.15

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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.