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Finding the Fourth Proportional to 7,985.52, 11,978.99 and 2,439.45

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Solution

The fourth proportional to 7,985.52, 11,978.99 and 2,439.45 is: 3,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.52 : 11,978.99 = 2,439.45 : x
  2. Step 2: Convert to fraction form
    7,985.52/11,978.99 = 2,439.45/x
  3. Step 3: Cross multiply
    7,985.52x = 11,978.99 × 2,439.45
  4. Step 4: Simplify right side
    7,985.52x = 29,222,144.11
  5. Step 5: Solve for x
    x = 29,222,144.11/7,985.52
  6. Step 6: Final answer
    x = 3,659.39

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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.