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Finding the Fourth Proportional to 13,638.61, 20,477.07 and 6,979.87

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Solution

The fourth proportional to 13,638.61, 20,477.07 and 6,979.87 is: 10,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.61 : 20,477.07 = 6,979.87 : x
  2. Step 2: Convert to fraction form
    13,638.61/20,477.07 = 6,979.87/x
  3. Step 3: Cross multiply
    13,638.61x = 20,477.07 × 6,979.87
  4. Step 4: Simplify right side
    13,638.61x = 142,927,286.58
  5. Step 5: Solve for x
    x = 142,927,286.58/13,638.61
  6. Step 6: Final answer
    x = 10,479.61

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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.