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Finding the Fourth Proportional to 6,783.84, 10,169.28 and 4,311

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Solution

The fourth proportional to 6,783.84, 10,169.28 and 4,311 is: 6,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.84 : 10,169.28 = 4,311 : x
  2. Step 2: Convert to fraction form
    6,783.84/10,169.28 = 4,311/x
  3. Step 3: Cross multiply
    6,783.84x = 10,169.28 × 4,311
  4. Step 4: Simplify right side
    6,783.84x = 43,839,766.08
  5. Step 5: Solve for x
    x = 43,839,766.08/6,783.84
  6. Step 6: Final answer
    x = 6,462.38

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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.