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Finding the Fourth Proportional to 6,768.72, 10,125 and 6,354

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Solution

The fourth proportional to 6,768.72, 10,125 and 6,354 is: 9,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.72 : 10,125 = 6,354 : x
  2. Step 2: Convert to fraction form
    6,768.72/10,125 = 6,354/x
  3. Step 3: Cross multiply
    6,768.72x = 10,125 × 6,354
  4. Step 4: Simplify right side
    6,768.72x = 64,334,250
  5. Step 5: Solve for x
    x = 64,334,250/6,768.72
  6. Step 6: Final answer
    x = 9,504.64

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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.