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Finding the Fourth Proportional to 6,772, 9,345.11 and 3,788.11

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Solution

The fourth proportional to 6,772, 9,345.11 and 3,788.11 is: 5,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772 : 9,345.11 = 3,788.11 : x
  2. Step 2: Convert to fraction form
    6,772/9,345.11 = 3,788.11/x
  3. Step 3: Cross multiply
    6,772x = 9,345.11 × 3,788.11
  4. Step 4: Simplify right side
    6,772x = 35,400,285.70
  5. Step 5: Solve for x
    x = 35,400,285.70/6,772
  6. Step 6: Final answer
    x = 5,227.45

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Why These Related Problems?

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