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Finding the Fourth Proportional to 2,208, 3,047.08 and 1,276.80

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Solution

The fourth proportional to 2,208, 3,047.08 and 1,276.80 is: 1,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208 : 3,047.08 = 1,276.80 : x
  2. Step 2: Convert to fraction form
    2,208/3,047.08 = 1,276.80/x
  3. Step 3: Cross multiply
    2,208x = 3,047.08 × 1,276.80
  4. Step 4: Simplify right side
    2,208x = 3,890,511.74
  5. Step 5: Solve for x
    x = 3,890,511.74/2,208
  6. Step 6: Final answer
    x = 1,762.01

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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.