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Finding the Fourth Proportional to 13,774.62, 20,661.93 and 5,456.58

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Solution

The fourth proportional to 13,774.62, 20,661.93 and 5,456.58 is: 8,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.62 : 20,661.93 = 5,456.58 : x
  2. Step 2: Convert to fraction form
    13,774.62/20,661.93 = 5,456.58/x
  3. Step 3: Cross multiply
    13,774.62x = 20,661.93 × 5,456.58
  4. Step 4: Simplify right side
    13,774.62x = 112,743,474.00
  5. Step 5: Solve for x
    x = 112,743,474.00/13,774.62
  6. Step 6: Final answer
    x = 8,184.87

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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.