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Finding the Fourth Proportional to 10,908, 16,362 and 3,513.21

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Solution

The fourth proportional to 10,908, 16,362 and 3,513.21 is: 5,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908 : 16,362 = 3,513.21 : x
  2. Step 2: Convert to fraction form
    10,908/16,362 = 3,513.21/x
  3. Step 3: Cross multiply
    10,908x = 16,362 × 3,513.21
  4. Step 4: Simplify right side
    10,908x = 57,483,080.66
  5. Step 5: Solve for x
    x = 57,483,080.66/10,908
  6. Step 6: Final answer
    x = 5,269.81

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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.