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Finding the Fourth Proportional to 13,903.58, 20,858.11 and 5,138.57

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Solution

The fourth proportional to 13,903.58, 20,858.11 and 5,138.57 is: 7,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.58 : 20,858.11 = 5,138.57 : x
  2. Step 2: Convert to fraction form
    13,903.58/20,858.11 = 5,138.57/x
  3. Step 3: Cross multiply
    13,903.58x = 20,858.11 × 5,138.57
  4. Step 4: Simplify right side
    13,903.58x = 107,180,897.60
  5. Step 5: Solve for x
    x = 107,180,897.60/13,903.58
  6. Step 6: Final answer
    x = 7,708.87

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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.