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Finding the Fourth Proportional to 30,978.05, 46,467.22 and 7,604.48

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Solution

The fourth proportional to 30,978.05, 46,467.22 and 7,604.48 is: 11,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.05 : 46,467.22 = 7,604.48 : x
  2. Step 2: Convert to fraction form
    30,978.05/46,467.22 = 7,604.48/x
  3. Step 3: Cross multiply
    30,978.05x = 46,467.22 × 7,604.48
  4. Step 4: Simplify right side
    30,978.05x = 353,359,142.30
  5. Step 5: Solve for x
    x = 353,359,142.30/30,978.05
  6. Step 6: Final answer
    x = 11,406.76

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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.