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Finding the Fourth Proportional to 4,771.86, 6,584.93 and 2,782.09

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Solution

The fourth proportional to 4,771.86, 6,584.93 and 2,782.09 is: 3,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.86 : 6,584.93 = 2,782.09 : x
  2. Step 2: Convert to fraction form
    4,771.86/6,584.93 = 2,782.09/x
  3. Step 3: Cross multiply
    4,771.86x = 6,584.93 × 2,782.09
  4. Step 4: Simplify right side
    4,771.86x = 18,319,872.66
  5. Step 5: Solve for x
    x = 18,319,872.66/4,771.86
  6. Step 6: Final answer
    x = 3,839.15

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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.