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Finding the Fourth Proportional to 19,902.92, 29,845.15 and 7,419.59

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Solution

The fourth proportional to 19,902.92, 29,845.15 and 7,419.59 is: 11,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.92 : 29,845.15 = 7,419.59 : x
  2. Step 2: Convert to fraction form
    19,902.92/29,845.15 = 7,419.59/x
  3. Step 3: Cross multiply
    19,902.92x = 29,845.15 × 7,419.59
  4. Step 4: Simplify right side
    19,902.92x = 221,438,720.63
  5. Step 5: Solve for x
    x = 221,438,720.63/19,902.92
  6. Step 6: Final answer
    x = 11,125.94

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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.