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Finding the Fourth Proportional to 2,193.59, 3,290.84 and 806.91

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Solution

The fourth proportional to 2,193.59, 3,290.84 and 806.91 is: 1,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.59 : 3,290.84 = 806.91 : x
  2. Step 2: Convert to fraction form
    2,193.59/3,290.84 = 806.91/x
  3. Step 3: Cross multiply
    2,193.59x = 3,290.84 × 806.91
  4. Step 4: Simplify right side
    2,193.59x = 2,655,407.67
  5. Step 5: Solve for x
    x = 2,655,407.67/2,193.59
  6. Step 6: Final answer
    x = 1,210.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.