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Finding the Fourth Proportional to 7,963.46, 11,945.47 and 3,580.94

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Solution

The fourth proportional to 7,963.46, 11,945.47 and 3,580.94 is: 5,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.46 : 11,945.47 = 3,580.94 : x
  2. Step 2: Convert to fraction form
    7,963.46/11,945.47 = 3,580.94/x
  3. Step 3: Cross multiply
    7,963.46x = 11,945.47 × 3,580.94
  4. Step 4: Simplify right side
    7,963.46x = 42,775,942.66
  5. Step 5: Solve for x
    x = 42,775,942.66/7,963.46
  6. Step 6: Final answer
    x = 5,371.53

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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.