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Finding the Fourth Proportional to 2,210.88, 3,049.74 and 1,278.84

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Solution

The fourth proportional to 2,210.88, 3,049.74 and 1,278.84 is: 1,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.88 : 3,049.74 = 1,278.84 : x
  2. Step 2: Convert to fraction form
    2,210.88/3,049.74 = 1,278.84/x
  3. Step 3: Cross multiply
    2,210.88x = 3,049.74 × 1,278.84
  4. Step 4: Simplify right side
    2,210.88x = 3,900,129.50
  5. Step 5: Solve for x
    x = 3,900,129.50/2,210.88
  6. Step 6: Final answer
    x = 1,764.06

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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.