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Finding the Fourth Proportional to 25,287, 37,930.50 and 6,819

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Solution

The fourth proportional to 25,287, 37,930.50 and 6,819 is: 10,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,287 : 37,930.50 = 6,819 : x
  2. Step 2: Convert to fraction form
    25,287/37,930.50 = 6,819/x
  3. Step 3: Cross multiply
    25,287x = 37,930.50 × 6,819
  4. Step 4: Simplify right side
    25,287x = 258,648,079.50
  5. Step 5: Solve for x
    x = 258,648,079.50/25,287
  6. Step 6: Final answer
    x = 10,228.50

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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.