Home / 2,464.09-3,696.84-821.71

Finding the Fourth Proportional to 2,464.09, 3,696.84 and 821.71

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Solution

The fourth proportional to 2,464.09, 3,696.84 and 821.71 is: 1,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.09 : 3,696.84 = 821.71 : x
  2. Step 2: Convert to fraction form
    2,464.09/3,696.84 = 821.71/x
  3. Step 3: Cross multiply
    2,464.09x = 3,696.84 × 821.71
  4. Step 4: Simplify right side
    2,464.09x = 3,037,730.40
  5. Step 5: Solve for x
    x = 3,037,730.40/2,464.09
  6. Step 6: Final answer
    x = 1,232.80

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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.