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Finding the Fourth Proportional to 2,818.92, 3,889.17 and 1,825.47

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Solution

The fourth proportional to 2,818.92, 3,889.17 and 1,825.47 is: 2,518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.92 : 3,889.17 = 1,825.47 : x
  2. Step 2: Convert to fraction form
    2,818.92/3,889.17 = 1,825.47/x
  3. Step 3: Cross multiply
    2,818.92x = 3,889.17 × 1,825.47
  4. Step 4: Simplify right side
    2,818.92x = 7,099,563.16
  5. Step 5: Solve for x
    x = 7,099,563.16/2,818.92
  6. Step 6: Final answer
    x = 2,518.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.