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Finding the Fourth Proportional to 13,601.73, 20,406.04 and 6,585.11

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Solution

The fourth proportional to 13,601.73, 20,406.04 and 6,585.11 is: 9,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.73 : 20,406.04 = 6,585.11 : x
  2. Step 2: Convert to fraction form
    13,601.73/20,406.04 = 6,585.11/x
  3. Step 3: Cross multiply
    13,601.73x = 20,406.04 × 6,585.11
  4. Step 4: Simplify right side
    13,601.73x = 134,376,018.06
  5. Step 5: Solve for x
    x = 134,376,018.06/13,601.73
  6. Step 6: Final answer
    x = 9,879.33

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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.