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Finding the Fourth Proportional to 19,902.73, 29,850.78 and 7,419.44

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Solution

The fourth proportional to 19,902.73, 29,850.78 and 7,419.44 is: 11,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.73 : 29,850.78 = 7,419.44 : x
  2. Step 2: Convert to fraction form
    19,902.73/29,850.78 = 7,419.44/x
  3. Step 3: Cross multiply
    19,902.73x = 29,850.78 × 7,419.44
  4. Step 4: Simplify right side
    19,902.73x = 221,476,071.16
  5. Step 5: Solve for x
    x = 221,476,071.16/19,902.73
  6. Step 6: Final answer
    x = 11,127.92

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1.5x scale

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.