Home / 13,901.72-20,838-10,198.40

Finding the Fourth Proportional to 13,901.72, 20,838 and 10,198.40

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Solution

The fourth proportional to 13,901.72, 20,838 and 10,198.40 is: 15,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.72 : 20,838 = 10,198.40 : x
  2. Step 2: Convert to fraction form
    13,901.72/20,838 = 10,198.40/x
  3. Step 3: Cross multiply
    13,901.72x = 20,838 × 10,198.40
  4. Step 4: Simplify right side
    13,901.72x = 212,514,259.20
  5. Step 5: Solve for x
    x = 212,514,259.20/13,901.72
  6. Step 6: Final answer
    x = 15,286.90

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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.