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Finding the Fourth Proportional to 7,944.30, 11,880.81 and 7,072.02

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Solution

The fourth proportional to 7,944.30, 11,880.81 and 7,072.02 is: 10,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.30 : 11,880.81 = 7,072.02 : x
  2. Step 2: Convert to fraction form
    7,944.30/11,880.81 = 7,072.02/x
  3. Step 3: Cross multiply
    7,944.30x = 11,880.81 × 7,072.02
  4. Step 4: Simplify right side
    7,944.30x = 84,021,325.94
  5. Step 5: Solve for x
    x = 84,021,325.94/7,944.30
  6. Step 6: Final answer
    x = 10,576.30

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1.5x scale

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.