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Finding the Fourth Proportional to 8,582.78, 11,843.19 and 4,805.65

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Solution

The fourth proportional to 8,582.78, 11,843.19 and 4,805.65 is: 6,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.78 : 11,843.19 = 4,805.65 : x
  2. Step 2: Convert to fraction form
    8,582.78/11,843.19 = 4,805.65/x
  3. Step 3: Cross multiply
    8,582.78x = 11,843.19 × 4,805.65
  4. Step 4: Simplify right side
    8,582.78x = 56,914,226.02
  5. Step 5: Solve for x
    x = 56,914,226.02/8,582.78
  6. Step 6: Final answer
    x = 6,631.21

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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.