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Finding the Fourth Proportional to 4,425.80, 6,106.50 and 2,852

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Solution

The fourth proportional to 4,425.80, 6,106.50 and 2,852 is: 3,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.80 : 6,106.50 = 2,852 : x
  2. Step 2: Convert to fraction form
    4,425.80/6,106.50 = 2,852/x
  3. Step 3: Cross multiply
    4,425.80x = 6,106.50 × 2,852
  4. Step 4: Simplify right side
    4,425.80x = 17,415,738
  5. Step 5: Solve for x
    x = 17,415,738/4,425.80
  6. Step 6: Final answer
    x = 3,935.05

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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.