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Finding the Fourth Proportional to 7,986.46, 11,978.14 and 3,054.94

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Solution

The fourth proportional to 7,986.46, 11,978.14 and 3,054.94 is: 4,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.46 : 11,978.14 = 3,054.94 : x
  2. Step 2: Convert to fraction form
    7,986.46/11,978.14 = 3,054.94/x
  3. Step 3: Cross multiply
    7,986.46x = 11,978.14 × 3,054.94
  4. Step 4: Simplify right side
    7,986.46x = 36,592,461.43
  5. Step 5: Solve for x
    x = 36,592,461.43/7,986.46
  6. Step 6: Final answer
    x = 4,581.81

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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.