Home / 2,464.40-3,696.96-821.18

Finding the Fourth Proportional to 2,464.40, 3,696.96 and 821.18

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Solution

The fourth proportional to 2,464.40, 3,696.96 and 821.18 is: 1,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.40 : 3,696.96 = 821.18 : x
  2. Step 2: Convert to fraction form
    2,464.40/3,696.96 = 821.18/x
  3. Step 3: Cross multiply
    2,464.40x = 3,696.96 × 821.18
  4. Step 4: Simplify right side
    2,464.40x = 3,035,869.61
  5. Step 5: Solve for x
    x = 3,035,869.61/2,464.40
  6. Step 6: Final answer
    x = 1,231.89

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1.5x scale

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.