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Finding the Fourth Proportional to 2,054.59, 3,081.17 and 821.68

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Solution

The fourth proportional to 2,054.59, 3,081.17 and 821.68 is: 1,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.59 : 3,081.17 = 821.68 : x
  2. Step 2: Convert to fraction form
    2,054.59/3,081.17 = 821.68/x
  3. Step 3: Cross multiply
    2,054.59x = 3,081.17 × 821.68
  4. Step 4: Simplify right side
    2,054.59x = 2,531,730.12
  5. Step 5: Solve for x
    x = 2,531,730.12/2,054.59
  6. Step 6: Final answer
    x = 1,232.23

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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.