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Finding the Fourth Proportional to 7,311.78, 10,090.20 and 3,999.78

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Solution

The fourth proportional to 7,311.78, 10,090.20 and 3,999.78 is: 5,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.78 : 10,090.20 = 3,999.78 : x
  2. Step 2: Convert to fraction form
    7,311.78/10,090.20 = 3,999.78/x
  3. Step 3: Cross multiply
    7,311.78x = 10,090.20 × 3,999.78
  4. Step 4: Simplify right side
    7,311.78x = 40,358,580.16
  5. Step 5: Solve for x
    x = 40,358,580.16/7,311.78
  6. Step 6: Final answer
    x = 5,519.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.