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Finding the Fourth Proportional to 10,781, 16,171.52 and 3,485

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Solution

The fourth proportional to 10,781, 16,171.52 and 3,485 is: 5,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781 : 16,171.52 = 3,485 : x
  2. Step 2: Convert to fraction form
    10,781/16,171.52 = 3,485/x
  3. Step 3: Cross multiply
    10,781x = 16,171.52 × 3,485
  4. Step 4: Simplify right side
    10,781x = 56,357,747.20
  5. Step 5: Solve for x
    x = 56,357,747.20/10,781
  6. Step 6: Final answer
    x = 5,227.51

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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.