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Finding the Fourth Proportional to 2,189.63, 3,284.44 and 650.63

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Solution

The fourth proportional to 2,189.63, 3,284.44 and 650.63 is: 975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.63 : 3,284.44 = 650.63 : x
  2. Step 2: Convert to fraction form
    2,189.63/3,284.44 = 650.63/x
  3. Step 3: Cross multiply
    2,189.63x = 3,284.44 × 650.63
  4. Step 4: Simplify right side
    2,189.63x = 2,136,955.20
  5. Step 5: Solve for x
    x = 2,136,955.20/2,189.63
  6. Step 6: Final answer
    x = 975.94

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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.