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Finding the Fourth Proportional to 13,870, 20,792.64 and 5,102.80

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Solution

The fourth proportional to 13,870, 20,792.64 and 5,102.80 is: 7,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870 : 20,792.64 = 5,102.80 : x
  2. Step 2: Convert to fraction form
    13,870/20,792.64 = 5,102.80/x
  3. Step 3: Cross multiply
    13,870x = 20,792.64 × 5,102.80
  4. Step 4: Simplify right side
    13,870x = 106,100,683.39
  5. Step 5: Solve for x
    x = 106,100,683.39/13,870
  6. Step 6: Final answer
    x = 7,649.65

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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.