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Finding the Fourth Proportional to 5,223.96, 7,836.63 and 2,758.88

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Solution

The fourth proportional to 5,223.96, 7,836.63 and 2,758.88 is: 4,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.96 : 7,836.63 = 2,758.88 : x
  2. Step 2: Convert to fraction form
    5,223.96/7,836.63 = 2,758.88/x
  3. Step 3: Cross multiply
    5,223.96x = 7,836.63 × 2,758.88
  4. Step 4: Simplify right side
    5,223.96x = 21,620,302.46
  5. Step 5: Solve for x
    x = 21,620,302.46/5,223.96
  6. Step 6: Final answer
    x = 4,138.68

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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.