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Finding the Fourth Proportional to 19,885, 29,827.50 and 7,404.76

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Solution

The fourth proportional to 19,885, 29,827.50 and 7,404.76 is: 11,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885 : 29,827.50 = 7,404.76 : x
  2. Step 2: Convert to fraction form
    19,885/29,827.50 = 7,404.76/x
  3. Step 3: Cross multiply
    19,885x = 29,827.50 × 7,404.76
  4. Step 4: Simplify right side
    19,885x = 220,865,478.90
  5. Step 5: Solve for x
    x = 220,865,478.90/19,885
  6. Step 6: Final answer
    x = 11,107.14

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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.