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Finding the Fourth Proportional to 13,906.76, 20,857.98 and 4,044

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Solution

The fourth proportional to 13,906.76, 20,857.98 and 4,044 is: 6,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.76 : 20,857.98 = 4,044 : x
  2. Step 2: Convert to fraction form
    13,906.76/20,857.98 = 4,044/x
  3. Step 3: Cross multiply
    13,906.76x = 20,857.98 × 4,044
  4. Step 4: Simplify right side
    13,906.76x = 84,349,671.12
  5. Step 5: Solve for x
    x = 84,349,671.12/13,906.76
  6. Step 6: Final answer
    x = 6,065.37

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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.