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Finding the Fourth Proportional to 19,453.52, 29,190 and 7,776.56

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Solution

The fourth proportional to 19,453.52, 29,190 and 7,776.56 is: 11,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,453.52 : 29,190 = 7,776.56 : x
  2. Step 2: Convert to fraction form
    19,453.52/29,190 = 7,776.56/x
  3. Step 3: Cross multiply
    19,453.52x = 29,190 × 7,776.56
  4. Step 4: Simplify right side
    19,453.52x = 226,997,786.40
  5. Step 5: Solve for x
    x = 226,997,786.40/19,453.52
  6. Step 6: Final answer
    x = 11,668.73

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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.