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Finding the Fourth Proportional to 2,940.71, 4,058.25 and 1,681.88

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Solution

The fourth proportional to 2,940.71, 4,058.25 and 1,681.88 is: 2,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.71 : 4,058.25 = 1,681.88 : x
  2. Step 2: Convert to fraction form
    2,940.71/4,058.25 = 1,681.88/x
  3. Step 3: Cross multiply
    2,940.71x = 4,058.25 × 1,681.88
  4. Step 4: Simplify right side
    2,940.71x = 6,825,499.66
  5. Step 5: Solve for x
    x = 6,825,499.66/2,940.71
  6. Step 6: Final answer
    x = 2,321.04

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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.