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Finding the Fourth Proportional to 2,054.40, 3,081.49 and 821.47

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Solution

The fourth proportional to 2,054.40, 3,081.49 and 821.47 is: 1,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.40 : 3,081.49 = 821.47 : x
  2. Step 2: Convert to fraction form
    2,054.40/3,081.49 = 821.47/x
  3. Step 3: Cross multiply
    2,054.40x = 3,081.49 × 821.47
  4. Step 4: Simplify right side
    2,054.40x = 2,531,351.59
  5. Step 5: Solve for x
    x = 2,531,351.59/2,054.40
  6. Step 6: Final answer
    x = 1,232.16

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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.