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Finding the Fourth Proportional to 7,764.91, 11,643.21 and 3,084.73

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Solution

The fourth proportional to 7,764.91, 11,643.21 and 3,084.73 is: 4,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.91 : 11,643.21 = 3,084.73 : x
  2. Step 2: Convert to fraction form
    7,764.91/11,643.21 = 3,084.73/x
  3. Step 3: Cross multiply
    7,764.91x = 11,643.21 × 3,084.73
  4. Step 4: Simplify right side
    7,764.91x = 35,916,130.08
  5. Step 5: Solve for x
    x = 35,916,130.08/7,764.91
  6. Step 6: Final answer
    x = 4,625.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.