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Finding the Fourth Proportional to 7,978.47, 11,967.70 and 3,293.33

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Solution

The fourth proportional to 7,978.47, 11,967.70 and 3,293.33 is: 4,939.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.47 : 11,967.70 = 3,293.33 : x
  2. Step 2: Convert to fraction form
    7,978.47/11,967.70 = 3,293.33/x
  3. Step 3: Cross multiply
    7,978.47x = 11,967.70 × 3,293.33
  4. Step 4: Simplify right side
    7,978.47x = 39,413,585.44
  5. Step 5: Solve for x
    x = 39,413,585.44/7,978.47
  6. Step 6: Final answer
    x = 4,939.99

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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.