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Finding the Fourth Proportional to 2,825.82, 3,899.54 and 1,630.80

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Solution

The fourth proportional to 2,825.82, 3,899.54 and 1,630.80 is: 2,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.82 : 3,899.54 = 1,630.80 : x
  2. Step 2: Convert to fraction form
    2,825.82/3,899.54 = 1,630.80/x
  3. Step 3: Cross multiply
    2,825.82x = 3,899.54 × 1,630.80
  4. Step 4: Simplify right side
    2,825.82x = 6,359,357.46
  5. Step 5: Solve for x
    x = 6,359,357.46/2,825.82
  6. Step 6: Final answer
    x = 2,250.44

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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.