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Finding the Fourth Proportional to 13,108.50, 18,089.73 and 7,521.30

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Solution

The fourth proportional to 13,108.50, 18,089.73 and 7,521.30 is: 10,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.50 : 18,089.73 = 7,521.30 : x
  2. Step 2: Convert to fraction form
    13,108.50/18,089.73 = 7,521.30/x
  3. Step 3: Cross multiply
    13,108.50x = 18,089.73 × 7,521.30
  4. Step 4: Simplify right side
    13,108.50x = 136,058,286.25
  5. Step 5: Solve for x
    x = 136,058,286.25/13,108.50
  6. Step 6: Final answer
    x = 10,379.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.