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Finding the Fourth Proportional to 33,157.34, 49,745.12 and 9,783.78

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Solution

The fourth proportional to 33,157.34, 49,745.12 and 9,783.78 is: 14,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.34 : 49,745.12 = 9,783.78 : x
  2. Step 2: Convert to fraction form
    33,157.34/49,745.12 = 9,783.78/x
  3. Step 3: Cross multiply
    33,157.34x = 49,745.12 × 9,783.78
  4. Step 4: Simplify right side
    33,157.34x = 486,695,074.69
  5. Step 5: Solve for x
    x = 486,695,074.69/33,157.34
  6. Step 6: Final answer
    x = 14,678.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.