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Finding the Fourth Proportional to 7,940.52, 10,947.85 and 5,674.57

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Solution

The fourth proportional to 7,940.52, 10,947.85 and 5,674.57 is: 7,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.52 : 10,947.85 = 5,674.57 : x
  2. Step 2: Convert to fraction form
    7,940.52/10,947.85 = 5,674.57/x
  3. Step 3: Cross multiply
    7,940.52x = 10,947.85 × 5,674.57
  4. Step 4: Simplify right side
    7,940.52x = 62,124,299.62
  5. Step 5: Solve for x
    x = 62,124,299.62/7,940.52
  6. Step 6: Final answer
    x = 7,823.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.