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Finding the Fourth Proportional to 25,115, 37,673.22 and 6,647

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Solution

The fourth proportional to 25,115, 37,673.22 and 6,647 is: 9,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,115 : 37,673.22 = 6,647 : x
  2. Step 2: Convert to fraction form
    25,115/37,673.22 = 6,647/x
  3. Step 3: Cross multiply
    25,115x = 37,673.22 × 6,647
  4. Step 4: Simplify right side
    25,115x = 250,413,893.34
  5. Step 5: Solve for x
    x = 250,413,893.34/25,115
  6. Step 6: Final answer
    x = 9,970.69

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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.