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Finding the Fourth Proportional to 6,764.45, 9,337.82 and 4,112.71

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Solution

The fourth proportional to 6,764.45, 9,337.82 and 4,112.71 is: 5,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.45 : 9,337.82 = 4,112.71 : x
  2. Step 2: Convert to fraction form
    6,764.45/9,337.82 = 4,112.71/x
  3. Step 3: Cross multiply
    6,764.45x = 9,337.82 × 4,112.71
  4. Step 4: Simplify right side
    6,764.45x = 38,403,678.44
  5. Step 5: Solve for x
    x = 38,403,678.44/6,764.45
  6. Step 6: Final answer
    x = 5,677.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.