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Finding the Fourth Proportional to 19,404, 29,055.96 and 13,472.28

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Solution

The fourth proportional to 19,404, 29,055.96 and 13,472.28 is: 20,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,404 : 29,055.96 = 13,472.28 : x
  2. Step 2: Convert to fraction form
    19,404/29,055.96 = 13,472.28/x
  3. Step 3: Cross multiply
    19,404x = 29,055.96 × 13,472.28
  4. Step 4: Simplify right side
    19,404x = 391,450,028.79
  5. Step 5: Solve for x
    x = 391,450,028.79/19,404
  6. Step 6: Final answer
    x = 20,173.68

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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.