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Finding the Fourth Proportional to 13,108, 18,089.04 and 7,520.80

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Solution

The fourth proportional to 13,108, 18,089.04 and 7,520.80 is: 10,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108 : 18,089.04 = 7,520.80 : x
  2. Step 2: Convert to fraction form
    13,108/18,089.04 = 7,520.80/x
  3. Step 3: Cross multiply
    13,108x = 18,089.04 × 7,520.80
  4. Step 4: Simplify right side
    13,108x = 136,044,052.03
  5. Step 5: Solve for x
    x = 136,044,052.03/13,108
  6. Step 6: Final answer
    x = 10,378.70

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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.