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Finding the Fourth Proportional to 14,108, 19,469.04 and 7,820.80

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Solution

The fourth proportional to 14,108, 19,469.04 and 7,820.80 is: 10,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108 : 19,469.04 = 7,820.80 : x
  2. Step 2: Convert to fraction form
    14,108/19,469.04 = 7,820.80/x
  3. Step 3: Cross multiply
    14,108x = 19,469.04 × 7,820.80
  4. Step 4: Simplify right side
    14,108x = 152,263,468.03
  5. Step 5: Solve for x
    x = 152,263,468.03/14,108
  6. Step 6: Final answer
    x = 10,792.70

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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.