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Finding the Fourth Proportional to 19,138.92, 28,716.72 and 7,448.08

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Solution

The fourth proportional to 19,138.92, 28,716.72 and 7,448.08 is: 11,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.92 : 28,716.72 = 7,448.08 : x
  2. Step 2: Convert to fraction form
    19,138.92/28,716.72 = 7,448.08/x
  3. Step 3: Cross multiply
    19,138.92x = 28,716.72 × 7,448.08
  4. Step 4: Simplify right side
    19,138.92x = 213,884,427.90
  5. Step 5: Solve for x
    x = 213,884,427.90/19,138.92
  6. Step 6: Final answer
    x = 11,175.37

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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.