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Finding the Fourth Proportional to 7,589.54, 11,384.31 and 4,081.20

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Solution

The fourth proportional to 7,589.54, 11,384.31 and 4,081.20 is: 6,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.54 : 11,384.31 = 4,081.20 : x
  2. Step 2: Convert to fraction form
    7,589.54/11,384.31 = 4,081.20/x
  3. Step 3: Cross multiply
    7,589.54x = 11,384.31 × 4,081.20
  4. Step 4: Simplify right side
    7,589.54x = 46,461,645.97
  5. Step 5: Solve for x
    x = 46,461,645.97/7,589.54
  6. Step 6: Final answer
    x = 6,121.80

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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.