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Finding the Fourth Proportional to 10,405, 15,610.20 and 3,385

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Solution

The fourth proportional to 10,405, 15,610.20 and 3,385 is: 5,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405 : 15,610.20 = 3,385 : x
  2. Step 2: Convert to fraction form
    10,405/15,610.20 = 3,385/x
  3. Step 3: Cross multiply
    10,405x = 15,610.20 × 3,385
  4. Step 4: Simplify right side
    10,405x = 52,840,527
  5. Step 5: Solve for x
    x = 52,840,527/10,405
  6. Step 6: Final answer
    x = 5,078.38

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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.