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Finding the Fourth Proportional to 2,630.94, 3,943.14 and 1,242.42

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Solution

The fourth proportional to 2,630.94, 3,943.14 and 1,242.42 is: 1,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.94 : 3,943.14 = 1,242.42 : x
  2. Step 2: Convert to fraction form
    2,630.94/3,943.14 = 1,242.42/x
  3. Step 3: Cross multiply
    2,630.94x = 3,943.14 × 1,242.42
  4. Step 4: Simplify right side
    2,630.94x = 4,899,036.00
  5. Step 5: Solve for x
    x = 4,899,036.00/2,630.94
  6. Step 6: Final answer
    x = 1,862.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.