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Finding the Fourth Proportional to 5,222.92, 7,835.28 and 2,759.80

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Solution

The fourth proportional to 5,222.92, 7,835.28 and 2,759.80 is: 4,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.92 : 7,835.28 = 2,759.80 : x
  2. Step 2: Convert to fraction form
    5,222.92/7,835.28 = 2,759.80/x
  3. Step 3: Cross multiply
    5,222.92x = 7,835.28 × 2,759.80
  4. Step 4: Simplify right side
    5,222.92x = 21,623,752.77
  5. Step 5: Solve for x
    x = 21,623,752.77/5,222.92
  6. Step 6: Final answer
    x = 4,140.17

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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.