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Finding the Fourth Proportional to 13,081.36, 19,622 and 5,290.08

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Solution

The fourth proportional to 13,081.36, 19,622 and 5,290.08 is: 7,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.36 : 19,622 = 5,290.08 : x
  2. Step 2: Convert to fraction form
    13,081.36/19,622 = 5,290.08/x
  3. Step 3: Cross multiply
    13,081.36x = 19,622 × 5,290.08
  4. Step 4: Simplify right side
    13,081.36x = 103,801,949.76
  5. Step 5: Solve for x
    x = 103,801,949.76/13,081.36
  6. Step 6: Final answer
    x = 7,935.10

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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.