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Finding the Fourth Proportional to 12,292, 18,438 and 3,978.96

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Solution

The fourth proportional to 12,292, 18,438 and 3,978.96 is: 5,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292 : 18,438 = 3,978.96 : x
  2. Step 2: Convert to fraction form
    12,292/18,438 = 3,978.96/x
  3. Step 3: Cross multiply
    12,292x = 18,438 × 3,978.96
  4. Step 4: Simplify right side
    12,292x = 73,364,064.48
  5. Step 5: Solve for x
    x = 73,364,064.48/12,292
  6. Step 6: Final answer
    x = 5,968.44

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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.