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Finding the Fourth Proportional to 3,290.77, 4,539.77 and 1,963.99

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Solution

The fourth proportional to 3,290.77, 4,539.77 and 1,963.99 is: 2,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.77 : 4,539.77 = 1,963.99 : x
  2. Step 2: Convert to fraction form
    3,290.77/4,539.77 = 1,963.99/x
  3. Step 3: Cross multiply
    3,290.77x = 4,539.77 × 1,963.99
  4. Step 4: Simplify right side
    3,290.77x = 8,916,062.88
  5. Step 5: Solve for x
    x = 8,916,062.88/3,290.77
  6. Step 6: Final answer
    x = 2,709.42

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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.