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Finding the Fourth Proportional to 6,783.66, 9,356.67 and 5,772.78

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Solution

The fourth proportional to 6,783.66, 9,356.67 and 5,772.78 is: 7,962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.66 : 9,356.67 = 5,772.78 : x
  2. Step 2: Convert to fraction form
    6,783.66/9,356.67 = 5,772.78/x
  3. Step 3: Cross multiply
    6,783.66x = 9,356.67 × 5,772.78
  4. Step 4: Simplify right side
    6,783.66x = 54,013,997.44
  5. Step 5: Solve for x
    x = 54,013,997.44/6,783.66
  6. Step 6: Final answer
    x = 7,962.37

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1.5x scale

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.