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Finding the Fourth Proportional to 2,889.85, 3,984.02 and 1,827.08

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Solution

The fourth proportional to 2,889.85, 3,984.02 and 1,827.08 is: 2,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.85 : 3,984.02 = 1,827.08 : x
  2. Step 2: Convert to fraction form
    2,889.85/3,984.02 = 1,827.08/x
  3. Step 3: Cross multiply
    2,889.85x = 3,984.02 × 1,827.08
  4. Step 4: Simplify right side
    2,889.85x = 7,279,149.68
  5. Step 5: Solve for x
    x = 7,279,149.68/2,889.85
  6. Step 6: Final answer
    x = 2,518.87

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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.