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Finding the Fourth Proportional to 5,216.20, 7,824.30 and 1,755.88

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Solution

The fourth proportional to 5,216.20, 7,824.30 and 1,755.88 is: 2,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.20 : 7,824.30 = 1,755.88 : x
  2. Step 2: Convert to fraction form
    5,216.20/7,824.30 = 1,755.88/x
  3. Step 3: Cross multiply
    5,216.20x = 7,824.30 × 1,755.88
  4. Step 4: Simplify right side
    5,216.20x = 13,738,531.88
  5. Step 5: Solve for x
    x = 13,738,531.88/5,216.20
  6. Step 6: Final answer
    x = 2,633.82

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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.