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Finding the Fourth Proportional to 13,881.13, 20,788.33 and 7,940.01

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Solution

The fourth proportional to 13,881.13, 20,788.33 and 7,940.01 is: 11,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.13 : 20,788.33 = 7,940.01 : x
  2. Step 2: Convert to fraction form
    13,881.13/20,788.33 = 7,940.01/x
  3. Step 3: Cross multiply
    13,881.13x = 20,788.33 × 7,940.01
  4. Step 4: Simplify right side
    13,881.13x = 165,059,548.08
  5. Step 5: Solve for x
    x = 165,059,548.08/13,881.13
  6. Step 6: Final answer
    x = 11,890.93

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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.