Home / 2,464.16-3,696.64-821.21

Finding the Fourth Proportional to 2,464.16, 3,696.64 and 821.21

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Solution

The fourth proportional to 2,464.16, 3,696.64 and 821.21 is: 1,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.16 : 3,696.64 = 821.21 : x
  2. Step 2: Convert to fraction form
    2,464.16/3,696.64 = 821.21/x
  3. Step 3: Cross multiply
    2,464.16x = 3,696.64 × 821.21
  4. Step 4: Simplify right side
    2,464.16x = 3,035,697.20
  5. Step 5: Solve for x
    x = 3,035,697.20/2,464.16
  6. Step 6: Final answer
    x = 1,231.94

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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.