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Finding the Fourth Proportional to 2,846.71, 3,928.85 and 1,668.25

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Solution

The fourth proportional to 2,846.71, 3,928.85 and 1,668.25 is: 2,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.71 : 3,928.85 = 1,668.25 : x
  2. Step 2: Convert to fraction form
    2,846.71/3,928.85 = 1,668.25/x
  3. Step 3: Cross multiply
    2,846.71x = 3,928.85 × 1,668.25
  4. Step 4: Simplify right side
    2,846.71x = 6,554,304.01
  5. Step 5: Solve for x
    x = 6,554,304.01/2,846.71
  6. Step 6: Final answer
    x = 2,302.41

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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.