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Finding the Fourth Proportional to 6,551.78, 9,785.84 and 5,676.98

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Solution

The fourth proportional to 6,551.78, 9,785.84 and 5,676.98 is: 8,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.78 : 9,785.84 = 5,676.98 : x
  2. Step 2: Convert to fraction form
    6,551.78/9,785.84 = 5,676.98/x
  3. Step 3: Cross multiply
    6,551.78x = 9,785.84 × 5,676.98
  4. Step 4: Simplify right side
    6,551.78x = 55,553,940.65
  5. Step 5: Solve for x
    x = 55,553,940.65/6,551.78
  6. Step 6: Final answer
    x = 8,479.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.