Home / 2,208.64-3,312.96-821.94

Finding the Fourth Proportional to 2,208.64, 3,312.96 and 821.94

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Solution

The fourth proportional to 2,208.64, 3,312.96 and 821.94 is: 1,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.64 : 3,312.96 = 821.94 : x
  2. Step 2: Convert to fraction form
    2,208.64/3,312.96 = 821.94/x
  3. Step 3: Cross multiply
    2,208.64x = 3,312.96 × 821.94
  4. Step 4: Simplify right side
    2,208.64x = 2,723,054.34
  5. Step 5: Solve for x
    x = 2,723,054.34/2,208.64
  6. Step 6: Final answer
    x = 1,232.91

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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.