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Finding the Fourth Proportional to 7,978.41, 11,968.08 and 2,431.95

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Solution

The fourth proportional to 7,978.41, 11,968.08 and 2,431.95 is: 3,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.41 : 11,968.08 = 2,431.95 : x
  2. Step 2: Convert to fraction form
    7,978.41/11,968.08 = 2,431.95/x
  3. Step 3: Cross multiply
    7,978.41x = 11,968.08 × 2,431.95
  4. Step 4: Simplify right side
    7,978.41x = 29,105,772.16
  5. Step 5: Solve for x
    x = 29,105,772.16/7,978.41
  6. Step 6: Final answer
    x = 3,648.07

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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.