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Finding the Fourth Proportional to 13,903.72, 20,841 and 10,200.40

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Solution

The fourth proportional to 13,903.72, 20,841 and 10,200.40 is: 15,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.72 : 20,841 = 10,200.40 : x
  2. Step 2: Convert to fraction form
    13,903.72/20,841 = 10,200.40/x
  3. Step 3: Cross multiply
    13,903.72x = 20,841 × 10,200.40
  4. Step 4: Simplify right side
    13,903.72x = 212,586,536.40
  5. Step 5: Solve for x
    x = 212,586,536.40/13,903.72
  6. Step 6: Final answer
    x = 15,289.90

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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.