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Finding the Fourth Proportional to 2,169.50, 3,254.34 and 630.50

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Solution

The fourth proportional to 2,169.50, 3,254.34 and 630.50 is: 945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.50 : 3,254.34 = 630.50 : x
  2. Step 2: Convert to fraction form
    2,169.50/3,254.34 = 630.50/x
  3. Step 3: Cross multiply
    2,169.50x = 3,254.34 × 630.50
  4. Step 4: Simplify right side
    2,169.50x = 2,051,861.37
  5. Step 5: Solve for x
    x = 2,051,861.37/2,169.50
  6. Step 6: Final answer
    x = 945.78

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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.