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Finding the Fourth Proportional to 6,768.30, 10,140.82 and 6,083.50

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Solution

The fourth proportional to 6,768.30, 10,140.82 and 6,083.50 is: 9,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.30 : 10,140.82 = 6,083.50 : x
  2. Step 2: Convert to fraction form
    6,768.30/10,140.82 = 6,083.50/x
  3. Step 3: Cross multiply
    6,768.30x = 10,140.82 × 6,083.50
  4. Step 4: Simplify right side
    6,768.30x = 61,691,678.47
  5. Step 5: Solve for x
    x = 61,691,678.47/6,768.30
  6. Step 6: Final answer
    x = 9,114.80

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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.