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Finding the Fourth Proportional to 12,645, 18,967.41 and 3,285

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Solution

The fourth proportional to 12,645, 18,967.41 and 3,285 is: 4,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645 : 18,967.41 = 3,285 : x
  2. Step 2: Convert to fraction form
    12,645/18,967.41 = 3,285/x
  3. Step 3: Cross multiply
    12,645x = 18,967.41 × 3,285
  4. Step 4: Simplify right side
    12,645x = 62,307,941.85
  5. Step 5: Solve for x
    x = 62,307,941.85/12,645
  6. Step 6: Final answer
    x = 4,927.48

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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.