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Finding the Fourth Proportional to 14,013, 21,015.92 and 4,149.98

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Solution

The fourth proportional to 14,013, 21,015.92 and 4,149.98 is: 6,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013 : 21,015.92 = 4,149.98 : x
  2. Step 2: Convert to fraction form
    14,013/21,015.92 = 4,149.98/x
  3. Step 3: Cross multiply
    14,013x = 21,015.92 × 4,149.98
  4. Step 4: Simplify right side
    14,013x = 87,215,521.85
  5. Step 5: Solve for x
    x = 87,215,521.85/14,013
  6. Step 6: Final answer
    x = 6,223.90

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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.