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Finding the Fourth Proportional to 15,978.92, 23,968.62 and 4,293.80

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Solution

The fourth proportional to 15,978.92, 23,968.62 and 4,293.80 is: 6,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.92 : 23,968.62 = 4,293.80 : x
  2. Step 2: Convert to fraction form
    15,978.92/23,968.62 = 4,293.80/x
  3. Step 3: Cross multiply
    15,978.92x = 23,968.62 × 4,293.80
  4. Step 4: Simplify right side
    15,978.92x = 102,916,460.56
  5. Step 5: Solve for x
    x = 102,916,460.56/15,978.92
  6. Step 6: Final answer
    x = 6,440.76

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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.