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Finding the Fourth Proportional to 4,978.40, 7,458.60 and 3,945.20

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Solution

The fourth proportional to 4,978.40, 7,458.60 and 3,945.20 is: 5,910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.40 : 7,458.60 = 3,945.20 : x
  2. Step 2: Convert to fraction form
    4,978.40/7,458.60 = 3,945.20/x
  3. Step 3: Cross multiply
    4,978.40x = 7,458.60 × 3,945.20
  4. Step 4: Simplify right side
    4,978.40x = 29,425,668.72
  5. Step 5: Solve for x
    x = 29,425,668.72/4,978.40
  6. Step 6: Final answer
    x = 5,910.67

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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.