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Finding the Fourth Proportional to 13,152.75, 19,729.17 and 3,918.75

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Solution

The fourth proportional to 13,152.75, 19,729.17 and 3,918.75 is: 5,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.75 : 19,729.17 = 3,918.75 : x
  2. Step 2: Convert to fraction form
    13,152.75/19,729.17 = 3,918.75/x
  3. Step 3: Cross multiply
    13,152.75x = 19,729.17 × 3,918.75
  4. Step 4: Simplify right side
    13,152.75x = 77,313,684.94
  5. Step 5: Solve for x
    x = 77,313,684.94/13,152.75
  6. Step 6: Final answer
    x = 5,878.14

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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.