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Finding the Fourth Proportional to 13,798.42, 20,698.29 and 3,939.13

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Solution

The fourth proportional to 13,798.42, 20,698.29 and 3,939.13 is: 5,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.42 : 20,698.29 = 3,939.13 : x
  2. Step 2: Convert to fraction form
    13,798.42/20,698.29 = 3,939.13/x
  3. Step 3: Cross multiply
    13,798.42x = 20,698.29 × 3,939.13
  4. Step 4: Simplify right side
    13,798.42x = 81,533,255.09
  5. Step 5: Solve for x
    x = 81,533,255.09/13,798.42
  6. Step 6: Final answer
    x = 5,908.88

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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.