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Finding the Fourth Proportional to 6,815, 10,222.50 and 1,951

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Solution

The fourth proportional to 6,815, 10,222.50 and 1,951 is: 2,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815 : 10,222.50 = 1,951 : x
  2. Step 2: Convert to fraction form
    6,815/10,222.50 = 1,951/x
  3. Step 3: Cross multiply
    6,815x = 10,222.50 × 1,951
  4. Step 4: Simplify right side
    6,815x = 19,944,097.50
  5. Step 5: Solve for x
    x = 19,944,097.50/6,815
  6. Step 6: Final answer
    x = 2,926.50

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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.