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Finding the Fourth Proportional to 7,085.92, 10,629.26 and 1,821

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Solution

The fourth proportional to 7,085.92, 10,629.26 and 1,821 is: 2,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.92 : 10,629.26 = 1,821 : x
  2. Step 2: Convert to fraction form
    7,085.92/10,629.26 = 1,821/x
  3. Step 3: Cross multiply
    7,085.92x = 10,629.26 × 1,821
  4. Step 4: Simplify right side
    7,085.92x = 19,355,882.46
  5. Step 5: Solve for x
    x = 19,355,882.46/7,085.92
  6. Step 6: Final answer
    x = 2,731.60

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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.