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Finding the Fourth Proportional to 19,940.48, 29,906.40 and 7,460

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Solution

The fourth proportional to 19,940.48, 29,906.40 and 7,460 is: 11,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,940.48 : 29,906.40 = 7,460 : x
  2. Step 2: Convert to fraction form
    19,940.48/29,906.40 = 7,460/x
  3. Step 3: Cross multiply
    19,940.48x = 29,906.40 × 7,460
  4. Step 4: Simplify right side
    19,940.48x = 223,101,744
  5. Step 5: Solve for x
    x = 223,101,744/19,940.48
  6. Step 6: Final answer
    x = 11,188.38

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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.