Home / 2,208.67-3,312.06-821.77

Finding the Fourth Proportional to 2,208.67, 3,312.06 and 821.77

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Solution

The fourth proportional to 2,208.67, 3,312.06 and 821.77 is: 1,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.67 : 3,312.06 = 821.77 : x
  2. Step 2: Convert to fraction form
    2,208.67/3,312.06 = 821.77/x
  3. Step 3: Cross multiply
    2,208.67x = 3,312.06 × 821.77
  4. Step 4: Simplify right side
    2,208.67x = 2,721,751.55
  5. Step 5: Solve for x
    x = 2,721,751.55/2,208.67
  6. Step 6: Final answer
    x = 1,232.30

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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.