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Finding the Fourth Proportional to 7,978.24, 11,956.26 and 4,074.40

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Solution

The fourth proportional to 7,978.24, 11,956.26 and 4,074.40 is: 6,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.24 : 11,956.26 = 4,074.40 : x
  2. Step 2: Convert to fraction form
    7,978.24/11,956.26 = 4,074.40/x
  3. Step 3: Cross multiply
    7,978.24x = 11,956.26 × 4,074.40
  4. Step 4: Simplify right side
    7,978.24x = 48,714,585.74
  5. Step 5: Solve for x
    x = 48,714,585.74/7,978.24
  6. Step 6: Final answer
    x = 6,105.93

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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.