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Finding the Fourth Proportional to 6,772.50, 9,345.79 and 3,788.61

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Solution

The fourth proportional to 6,772.50, 9,345.79 and 3,788.61 is: 5,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.50 : 9,345.79 = 3,788.61 : x
  2. Step 2: Convert to fraction form
    6,772.50/9,345.79 = 3,788.61/x
  3. Step 3: Cross multiply
    6,772.50x = 9,345.79 × 3,788.61
  4. Step 4: Simplify right side
    6,772.50x = 35,407,553.45
  5. Step 5: Solve for x
    x = 35,407,553.45/6,772.50
  6. Step 6: Final answer
    x = 5,228.14

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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.