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Finding the Fourth Proportional to 3,633.13, 4,978.80 and 3,283.21

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Solution

The fourth proportional to 3,633.13, 4,978.80 and 3,283.21 is: 4,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.13 : 4,978.80 = 3,283.21 : x
  2. Step 2: Convert to fraction form
    3,633.13/4,978.80 = 3,283.21/x
  3. Step 3: Cross multiply
    3,633.13x = 4,978.80 × 3,283.21
  4. Step 4: Simplify right side
    3,633.13x = 16,346,445.95
  5. Step 5: Solve for x
    x = 16,346,445.95/3,633.13
  6. Step 6: Final answer
    x = 4,499.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.