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Finding the Fourth Proportional to 3,072.91, 4,240.38 and 1,894

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Solution

The fourth proportional to 3,072.91, 4,240.38 and 1,894 is: 2,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.91 : 4,240.38 = 1,894 : x
  2. Step 2: Convert to fraction form
    3,072.91/4,240.38 = 1,894/x
  3. Step 3: Cross multiply
    3,072.91x = 4,240.38 × 1,894
  4. Step 4: Simplify right side
    3,072.91x = 8,031,279.72
  5. Step 5: Solve for x
    x = 8,031,279.72/3,072.91
  6. Step 6: Final answer
    x = 2,613.57

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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.