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Finding the Fourth Proportional to 2,552.40, 3,828.60 and 821.20

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Solution

The fourth proportional to 2,552.40, 3,828.60 and 821.20 is: 1,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.40 : 3,828.60 = 821.20 : x
  2. Step 2: Convert to fraction form
    2,552.40/3,828.60 = 821.20/x
  3. Step 3: Cross multiply
    2,552.40x = 3,828.60 × 821.20
  4. Step 4: Simplify right side
    2,552.40x = 3,144,046.32
  5. Step 5: Solve for x
    x = 3,144,046.32/2,552.40
  6. Step 6: Final answer
    x = 1,231.80

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Similar ratio
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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.