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Finding the Fourth Proportional to 7,978.37, 11,967.55 and 2,134.83

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Solution

The fourth proportional to 7,978.37, 11,967.55 and 2,134.83 is: 3,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.37 : 11,967.55 = 2,134.83 : x
  2. Step 2: Convert to fraction form
    7,978.37/11,967.55 = 2,134.83/x
  3. Step 3: Cross multiply
    7,978.37x = 11,967.55 × 2,134.83
  4. Step 4: Simplify right side
    7,978.37x = 25,548,634.55
  5. Step 5: Solve for x
    x = 25,548,634.55/7,978.37
  6. Step 6: Final answer
    x = 3,202.24

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1.5x scale

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.