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Finding the Fourth Proportional to 3,048.22, 4,206.09 and 1,788.78

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Solution

The fourth proportional to 3,048.22, 4,206.09 and 1,788.78 is: 2,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.22 : 4,206.09 = 1,788.78 : x
  2. Step 2: Convert to fraction form
    3,048.22/4,206.09 = 1,788.78/x
  3. Step 3: Cross multiply
    3,048.22x = 4,206.09 × 1,788.78
  4. Step 4: Simplify right side
    3,048.22x = 7,523,769.67
  5. Step 5: Solve for x
    x = 7,523,769.67/3,048.22
  6. Step 6: Final answer
    x = 2,468.25

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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.