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Finding the Fourth Proportional to 13,984.71, 20,977.07 and 5,100.71

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Solution

The fourth proportional to 13,984.71, 20,977.07 and 5,100.71 is: 7,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.71 : 20,977.07 = 5,100.71 : x
  2. Step 2: Convert to fraction form
    13,984.71/20,977.07 = 5,100.71/x
  3. Step 3: Cross multiply
    13,984.71x = 20,977.07 × 5,100.71
  4. Step 4: Simplify right side
    13,984.71x = 106,997,820.33
  5. Step 5: Solve for x
    x = 106,997,820.33/13,984.71
  6. Step 6: Final answer
    x = 7,651.06

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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.