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Finding the Fourth Proportional to 19,488.31, 29,243.99 and 8,243.01

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Solution

The fourth proportional to 19,488.31, 29,243.99 and 8,243.01 is: 12,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,488.31 : 29,243.99 = 8,243.01 : x
  2. Step 2: Convert to fraction form
    19,488.31/29,243.99 = 8,243.01/x
  3. Step 3: Cross multiply
    19,488.31x = 29,243.99 × 8,243.01
  4. Step 4: Simplify right side
    19,488.31x = 241,058,502.01
  5. Step 5: Solve for x
    x = 241,058,502.01/19,488.31
  6. Step 6: Final answer
    x = 12,369.39

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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.