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Finding the Fourth Proportional to 2,464.76, 3,697.60 and 821.16

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Solution

The fourth proportional to 2,464.76, 3,697.60 and 821.16 is: 1,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.76 : 3,697.60 = 821.16 : x
  2. Step 2: Convert to fraction form
    2,464.76/3,697.60 = 821.16/x
  3. Step 3: Cross multiply
    2,464.76x = 3,697.60 × 821.16
  4. Step 4: Simplify right side
    2,464.76x = 3,036,321.22
  5. Step 5: Solve for x
    x = 3,036,321.22/2,464.76
  6. Step 6: Final answer
    x = 1,231.89

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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.