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Finding the Fourth Proportional to 2,940.49, 4,058 and 1,681.75

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Solution

The fourth proportional to 2,940.49, 4,058 and 1,681.75 is: 2,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.49 : 4,058 = 1,681.75 : x
  2. Step 2: Convert to fraction form
    2,940.49/4,058 = 1,681.75/x
  3. Step 3: Cross multiply
    2,940.49x = 4,058 × 1,681.75
  4. Step 4: Simplify right side
    2,940.49x = 6,824,541.50
  5. Step 5: Solve for x
    x = 6,824,541.50/2,940.49
  6. Step 6: Final answer
    x = 2,320.89

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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.