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Finding the Fourth Proportional to 5,222.99, 7,834.36 and 1,274.28

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Solution

The fourth proportional to 5,222.99, 7,834.36 and 1,274.28 is: 1,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.99 : 7,834.36 = 1,274.28 : x
  2. Step 2: Convert to fraction form
    5,222.99/7,834.36 = 1,274.28/x
  3. Step 3: Cross multiply
    5,222.99x = 7,834.36 × 1,274.28
  4. Step 4: Simplify right side
    5,222.99x = 9,983,135.70
  5. Step 5: Solve for x
    x = 9,983,135.70/5,222.99
  6. Step 6: Final answer
    x = 1,911.38

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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.