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Finding the Fourth Proportional to 7,311.80, 10,975.80 and 4,541.60

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Solution

The fourth proportional to 7,311.80, 10,975.80 and 4,541.60 is: 6,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.80 : 10,975.80 = 4,541.60 : x
  2. Step 2: Convert to fraction form
    7,311.80/10,975.80 = 4,541.60/x
  3. Step 3: Cross multiply
    7,311.80x = 10,975.80 × 4,541.60
  4. Step 4: Simplify right side
    7,311.80x = 49,847,693.28
  5. Step 5: Solve for x
    x = 49,847,693.28/7,311.80
  6. Step 6: Final answer
    x = 6,817.43

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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.