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Finding the Fourth Proportional to 5,222.78, 7,834.02 and 1,935.80

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Solution

The fourth proportional to 5,222.78, 7,834.02 and 1,935.80 is: 2,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.78 : 7,834.02 = 1,935.80 : x
  2. Step 2: Convert to fraction form
    5,222.78/7,834.02 = 1,935.80/x
  3. Step 3: Cross multiply
    5,222.78x = 7,834.02 × 1,935.80
  4. Step 4: Simplify right side
    5,222.78x = 15,165,095.92
  5. Step 5: Solve for x
    x = 15,165,095.92/5,222.78
  6. Step 6: Final answer
    x = 2,903.64

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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.