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Finding the Fourth Proportional to 13,932.49, 19,223.49 and 7,882.85

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Solution

The fourth proportional to 13,932.49, 19,223.49 and 7,882.85 is: 10,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932.49 : 19,223.49 = 7,882.85 : x
  2. Step 2: Convert to fraction form
    13,932.49/19,223.49 = 7,882.85/x
  3. Step 3: Cross multiply
    13,932.49x = 19,223.49 × 7,882.85
  4. Step 4: Simplify right side
    13,932.49x = 151,535,888.15
  5. Step 5: Solve for x
    x = 151,535,888.15/13,932.49
  6. Step 6: Final answer
    x = 10,876.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.