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Finding the Fourth Proportional to 10,857, 16,288.56 and 4,617.96

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Solution

The fourth proportional to 10,857, 16,288.56 and 4,617.96 is: 6,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857 : 16,288.56 = 4,617.96 : x
  2. Step 2: Convert to fraction form
    10,857/16,288.56 = 4,617.96/x
  3. Step 3: Cross multiply
    10,857x = 16,288.56 × 4,617.96
  4. Step 4: Simplify right side
    10,857x = 75,219,918.54
  5. Step 5: Solve for x
    x = 75,219,918.54/10,857
  6. Step 6: Final answer
    x = 6,928.24

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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.