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Finding the Fourth Proportional to 5,757.78, 7,947 and 3,661.50

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Solution

The fourth proportional to 5,757.78, 7,947 and 3,661.50 is: 5,053.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.78 : 7,947 = 3,661.50 : x
  2. Step 2: Convert to fraction form
    5,757.78/7,947 = 3,661.50/x
  3. Step 3: Cross multiply
    5,757.78x = 7,947 × 3,661.50
  4. Step 4: Simplify right side
    5,757.78x = 29,097,940.50
  5. Step 5: Solve for x
    x = 29,097,940.50/5,757.78
  6. Step 6: Final answer
    x = 5,053.67

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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.