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Finding the Fourth Proportional to 6,863, 10,294.50 and 1,668.89

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Solution

The fourth proportional to 6,863, 10,294.50 and 1,668.89 is: 2,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863 : 10,294.50 = 1,668.89 : x
  2. Step 2: Convert to fraction form
    6,863/10,294.50 = 1,668.89/x
  3. Step 3: Cross multiply
    6,863x = 10,294.50 × 1,668.89
  4. Step 4: Simplify right side
    6,863x = 17,180,388.11
  5. Step 5: Solve for x
    x = 17,180,388.11/6,863
  6. Step 6: Final answer
    x = 2,503.34

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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.