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Finding the Fourth Proportional to 10,854, 16,281 and 3,928.50

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Solution

The fourth proportional to 10,854, 16,281 and 3,928.50 is: 5,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854 : 16,281 = 3,928.50 : x
  2. Step 2: Convert to fraction form
    10,854/16,281 = 3,928.50/x
  3. Step 3: Cross multiply
    10,854x = 16,281 × 3,928.50
  4. Step 4: Simplify right side
    10,854x = 63,959,908.50
  5. Step 5: Solve for x
    x = 63,959,908.50/10,854
  6. Step 6: Final answer
    x = 5,892.75

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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.