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Finding the Fourth Proportional to 9,235.40, 13,850.40 and 3,311.60

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Solution

The fourth proportional to 9,235.40, 13,850.40 and 3,311.60 is: 4,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.40 : 13,850.40 = 3,311.60 : x
  2. Step 2: Convert to fraction form
    9,235.40/13,850.40 = 3,311.60/x
  3. Step 3: Cross multiply
    9,235.40x = 13,850.40 × 3,311.60
  4. Step 4: Simplify right side
    9,235.40x = 45,866,984.64
  5. Step 5: Solve for x
    x = 45,866,984.64/9,235.40
  6. Step 6: Final answer
    x = 4,966.43

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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.