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Finding the Fourth Proportional to 2,382.21, 3,573.36 and 650.84

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Solution

The fourth proportional to 2,382.21, 3,573.36 and 650.84 is: 976.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.21 : 3,573.36 = 650.84 : x
  2. Step 2: Convert to fraction form
    2,382.21/3,573.36 = 650.84/x
  3. Step 3: Cross multiply
    2,382.21x = 3,573.36 × 650.84
  4. Step 4: Simplify right side
    2,382.21x = 2,325,667.76
  5. Step 5: Solve for x
    x = 2,325,667.76/2,382.21
  6. Step 6: Final answer
    x = 976.26

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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.