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Finding the Fourth Proportional to 2,360.04, 3,540.02 and 821

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Solution

The fourth proportional to 2,360.04, 3,540.02 and 821 is: 1,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.04 : 3,540.02 = 821 : x
  2. Step 2: Convert to fraction form
    2,360.04/3,540.02 = 821/x
  3. Step 3: Cross multiply
    2,360.04x = 3,540.02 × 821
  4. Step 4: Simplify right side
    2,360.04x = 2,906,356.42
  5. Step 5: Solve for x
    x = 2,906,356.42/2,360.04
  6. Step 6: Final answer
    x = 1,231.49

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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.