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Finding the Fourth Proportional to 19,695, 29,551.14 and 11,487

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Solution

The fourth proportional to 19,695, 29,551.14 and 11,487 is: 17,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,695 : 29,551.14 = 11,487 : x
  2. Step 2: Convert to fraction form
    19,695/29,551.14 = 11,487/x
  3. Step 3: Cross multiply
    19,695x = 29,551.14 × 11,487
  4. Step 4: Simplify right side
    19,695x = 339,453,945.18
  5. Step 5: Solve for x
    x = 339,453,945.18/19,695
  6. Step 6: Final answer
    x = 17,235.54

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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.