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Finding the Fourth Proportional to 2,326.67, 3,210.82 and 1,278.80

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Solution

The fourth proportional to 2,326.67, 3,210.82 and 1,278.80 is: 1,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.67 : 3,210.82 = 1,278.80 : x
  2. Step 2: Convert to fraction form
    2,326.67/3,210.82 = 1,278.80/x
  3. Step 3: Cross multiply
    2,326.67x = 3,210.82 × 1,278.80
  4. Step 4: Simplify right side
    2,326.67x = 4,105,990.22
  5. Step 5: Solve for x
    x = 4,105,990.22/2,326.67
  6. Step 6: Final answer
    x = 1,764.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.