Home / 7,983-11,975.34-3,056.79

Finding the Fourth Proportional to 7,983, 11,975.34 and 3,056.79

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Solution

The fourth proportional to 7,983, 11,975.34 and 3,056.79 is: 4,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983 : 11,975.34 = 3,056.79 : x
  2. Step 2: Convert to fraction form
    7,983/11,975.34 = 3,056.79/x
  3. Step 3: Cross multiply
    7,983x = 11,975.34 × 3,056.79
  4. Step 4: Simplify right side
    7,983x = 36,606,099.56
  5. Step 5: Solve for x
    x = 36,606,099.56/7,983
  6. Step 6: Final answer
    x = 4,585.51

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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.