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Finding the Fourth Proportional to 5,983.82, 8,975.73 and 2,085.50

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Solution

The fourth proportional to 5,983.82, 8,975.73 and 2,085.50 is: 3,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.82 : 8,975.73 = 2,085.50 : x
  2. Step 2: Convert to fraction form
    5,983.82/8,975.73 = 2,085.50/x
  3. Step 3: Cross multiply
    5,983.82x = 8,975.73 × 2,085.50
  4. Step 4: Simplify right side
    5,983.82x = 18,718,884.92
  5. Step 5: Solve for x
    x = 18,718,884.92/5,983.82
  6. Step 6: Final answer
    x = 3,128.25

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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.