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Finding the Fourth Proportional to 13,474.80, 20,204.64 and 10,347

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Solution

The fourth proportional to 13,474.80, 20,204.64 and 10,347 is: 15,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.80 : 20,204.64 = 10,347 : x
  2. Step 2: Convert to fraction form
    13,474.80/20,204.64 = 10,347/x
  3. Step 3: Cross multiply
    13,474.80x = 20,204.64 × 10,347
  4. Step 4: Simplify right side
    13,474.80x = 209,057,410.08
  5. Step 5: Solve for x
    x = 209,057,410.08/13,474.80
  6. Step 6: Final answer
    x = 15,514.69

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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.