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Finding the Fourth Proportional to 7,223.95, 10,828.63 and 3,930.22

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Solution

The fourth proportional to 7,223.95, 10,828.63 and 3,930.22 is: 5,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.95 : 10,828.63 = 3,930.22 : x
  2. Step 2: Convert to fraction form
    7,223.95/10,828.63 = 3,930.22/x
  3. Step 3: Cross multiply
    7,223.95x = 10,828.63 × 3,930.22
  4. Step 4: Simplify right side
    7,223.95x = 42,558,898.20
  5. Step 5: Solve for x
    x = 42,558,898.20/7,223.95
  6. Step 6: Final answer
    x = 5,891.36

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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.