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Finding the Fourth Proportional to 6,859, 10,288.50 and 2,242

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Solution

The fourth proportional to 6,859, 10,288.50 and 2,242 is: 3,363

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859 : 10,288.50 = 2,242 : x
  2. Step 2: Convert to fraction form
    6,859/10,288.50 = 2,242/x
  3. Step 3: Cross multiply
    6,859x = 10,288.50 × 2,242
  4. Step 4: Simplify right side
    6,859x = 23,066,817
  5. Step 5: Solve for x
    x = 23,066,817/6,859
  6. Step 6: Final answer
    x = 3,363

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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.