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Finding the Fourth Proportional to 10,908, 16,361.64 and 3,116.80

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Solution

The fourth proportional to 10,908, 16,361.64 and 3,116.80 is: 4,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908 : 16,361.64 = 3,116.80 : x
  2. Step 2: Convert to fraction form
    10,908/16,361.64 = 3,116.80/x
  3. Step 3: Cross multiply
    10,908x = 16,361.64 × 3,116.80
  4. Step 4: Simplify right side
    10,908x = 50,995,959.55
  5. Step 5: Solve for x
    x = 50,995,959.55/10,908
  6. Step 6: Final answer
    x = 4,675.10

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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.