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Finding the Fourth Proportional to 13,077.36, 19,616 and 5,286.08

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Solution

The fourth proportional to 13,077.36, 19,616 and 5,286.08 is: 7,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.36 : 19,616 = 5,286.08 : x
  2. Step 2: Convert to fraction form
    13,077.36/19,616 = 5,286.08/x
  3. Step 3: Cross multiply
    13,077.36x = 19,616 × 5,286.08
  4. Step 4: Simplify right side
    13,077.36x = 103,691,745.28
  5. Step 5: Solve for x
    x = 103,691,745.28/13,077.36
  6. Step 6: Final answer
    x = 7,929.10

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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.