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Finding the Fourth Proportional to 13,883.82, 19,159.44 and 7,915.82

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Solution

The fourth proportional to 13,883.82, 19,159.44 and 7,915.82 is: 10,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.82 : 19,159.44 = 7,915.82 : x
  2. Step 2: Convert to fraction form
    13,883.82/19,159.44 = 7,915.82/x
  3. Step 3: Cross multiply
    13,883.82x = 19,159.44 × 7,915.82
  4. Step 4: Simplify right side
    13,883.82x = 151,662,678.34
  5. Step 5: Solve for x
    x = 151,662,678.34/13,883.82
  6. Step 6: Final answer
    x = 10,923.70

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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.