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Finding the Fourth Proportional to 5,309.63, 7,967.68 and 2,231.63

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Solution

The fourth proportional to 5,309.63, 7,967.68 and 2,231.63 is: 3,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.63 : 7,967.68 = 2,231.63 : x
  2. Step 2: Convert to fraction form
    5,309.63/7,967.68 = 2,231.63/x
  3. Step 3: Cross multiply
    5,309.63x = 7,967.68 × 2,231.63
  4. Step 4: Simplify right side
    5,309.63x = 17,780,868.30
  5. Step 5: Solve for x
    x = 17,780,868.30/5,309.63
  6. Step 6: Final answer
    x = 3,348.80

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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.