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Finding the Fourth Proportional to 9,438.48, 14,157.83 and 4,100.42

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Solution

The fourth proportional to 9,438.48, 14,157.83 and 4,100.42 is: 6,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.48 : 14,157.83 = 4,100.42 : x
  2. Step 2: Convert to fraction form
    9,438.48/14,157.83 = 4,100.42/x
  3. Step 3: Cross multiply
    9,438.48x = 14,157.83 × 4,100.42
  4. Step 4: Simplify right side
    9,438.48x = 58,052,978.50
  5. Step 5: Solve for x
    x = 58,052,978.50/9,438.48
  6. Step 6: Final answer
    x = 6,150.67

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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.