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Finding the Fourth Proportional to 13,882.52, 19,159.90 and 7,914.76

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Solution

The fourth proportional to 13,882.52, 19,159.90 and 7,914.76 is: 10,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.52 : 19,159.90 = 7,914.76 : x
  2. Step 2: Convert to fraction form
    13,882.52/19,159.90 = 7,914.76/x
  3. Step 3: Cross multiply
    13,882.52x = 19,159.90 × 7,914.76
  4. Step 4: Simplify right side
    13,882.52x = 151,646,010.12
  5. Step 5: Solve for x
    x = 151,646,010.12/13,882.52
  6. Step 6: Final answer
    x = 10,923.52

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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.