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Finding the Fourth Proportional to 13,881.15, 20,812.49 and 7,644.10

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Solution

The fourth proportional to 13,881.15, 20,812.49 and 7,644.10 is: 11,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.15 : 20,812.49 = 7,644.10 : x
  2. Step 2: Convert to fraction form
    13,881.15/20,812.49 = 7,644.10/x
  3. Step 3: Cross multiply
    13,881.15x = 20,812.49 × 7,644.10
  4. Step 4: Simplify right side
    13,881.15x = 159,092,716.71
  5. Step 5: Solve for x
    x = 159,092,716.71/13,881.15
  6. Step 6: Final answer
    x = 11,461.06

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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.