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Finding the Fourth Proportional to 5,223.54, 7,835.19 and 1,327.95

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Solution

The fourth proportional to 5,223.54, 7,835.19 and 1,327.95 is: 1,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.54 : 7,835.19 = 1,327.95 : x
  2. Step 2: Convert to fraction form
    5,223.54/7,835.19 = 1,327.95/x
  3. Step 3: Cross multiply
    5,223.54x = 7,835.19 × 1,327.95
  4. Step 4: Simplify right side
    5,223.54x = 10,404,740.56
  5. Step 5: Solve for x
    x = 10,404,740.56/5,223.54
  6. Step 6: Final answer
    x = 1,991.89

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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.