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Finding the Fourth Proportional to 13,913, 20,872.91 and 4,553.52

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Solution

The fourth proportional to 13,913, 20,872.91 and 4,553.52 is: 6,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913 : 20,872.91 = 4,553.52 : x
  2. Step 2: Convert to fraction form
    13,913/20,872.91 = 4,553.52/x
  3. Step 3: Cross multiply
    13,913x = 20,872.91 × 4,553.52
  4. Step 4: Simplify right side
    13,913x = 95,045,213.14
  5. Step 5: Solve for x
    x = 95,045,213.14/13,913
  6. Step 6: Final answer
    x = 6,831.40

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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.