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Finding the Fourth Proportional to 3,065.66, 4,230.64 and 1,668.41

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Solution

The fourth proportional to 3,065.66, 4,230.64 and 1,668.41 is: 2,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.66 : 4,230.64 = 1,668.41 : x
  2. Step 2: Convert to fraction form
    3,065.66/4,230.64 = 1,668.41/x
  3. Step 3: Cross multiply
    3,065.66x = 4,230.64 × 1,668.41
  4. Step 4: Simplify right side
    3,065.66x = 7,058,442.08
  5. Step 5: Solve for x
    x = 7,058,442.08/3,065.66
  6. Step 6: Final answer
    x = 2,302.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.