Home / 7,822.24-11,733.88-3,141.64

Finding the Fourth Proportional to 7,822.24, 11,733.88 and 3,141.64

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Solution

The fourth proportional to 7,822.24, 11,733.88 and 3,141.64 is: 4,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.24 : 11,733.88 = 3,141.64 : x
  2. Step 2: Convert to fraction form
    7,822.24/11,733.88 = 3,141.64/x
  3. Step 3: Cross multiply
    7,822.24x = 11,733.88 × 3,141.64
  4. Step 4: Simplify right side
    7,822.24x = 36,863,626.76
  5. Step 5: Solve for x
    x = 36,863,626.76/7,822.24
  6. Step 6: Final answer
    x = 4,712.67

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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.