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Finding the Fourth Proportional to 13,900.21, 20,853.05 and 5,135.20

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Solution

The fourth proportional to 13,900.21, 20,853.05 and 5,135.20 is: 7,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.21 : 20,853.05 = 5,135.20 : x
  2. Step 2: Convert to fraction form
    13,900.21/20,853.05 = 5,135.20/x
  3. Step 3: Cross multiply
    13,900.21x = 20,853.05 × 5,135.20
  4. Step 4: Simplify right side
    13,900.21x = 107,084,504.55
  5. Step 5: Solve for x
    x = 107,084,504.55/13,900.21
  6. Step 6: Final answer
    x = 7,703.81

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1.5x scale

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.