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Finding the Fourth Proportional to 7,820.82, 11,723.22 and 3,437.46

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Solution

The fourth proportional to 7,820.82, 11,723.22 and 3,437.46 is: 5,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.82 : 11,723.22 = 3,437.46 : x
  2. Step 2: Convert to fraction form
    7,820.82/11,723.22 = 3,437.46/x
  3. Step 3: Cross multiply
    7,820.82x = 11,723.22 × 3,437.46
  4. Step 4: Simplify right side
    7,820.82x = 40,298,099.82
  5. Step 5: Solve for x
    x = 40,298,099.82/7,820.82
  6. Step 6: Final answer
    x = 5,152.67

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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.