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Finding the Fourth Proportional to 2,873.36, 4,310.04 and 821.36

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Solution

The fourth proportional to 2,873.36, 4,310.04 and 821.36 is: 1,232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.36 : 4,310.04 = 821.36 : x
  2. Step 2: Convert to fraction form
    2,873.36/4,310.04 = 821.36/x
  3. Step 3: Cross multiply
    2,873.36x = 4,310.04 × 821.36
  4. Step 4: Simplify right side
    2,873.36x = 3,540,094.45
  5. Step 5: Solve for x
    x = 3,540,094.45/2,873.36
  6. Step 6: Final answer
    x = 1,232.04

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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.