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Finding the Fourth Proportional to 7,806.57, 11,709.87 and 3,189.57

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Solution

The fourth proportional to 7,806.57, 11,709.87 and 3,189.57 is: 4,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.57 : 11,709.87 = 3,189.57 : x
  2. Step 2: Convert to fraction form
    7,806.57/11,709.87 = 3,189.57/x
  3. Step 3: Cross multiply
    7,806.57x = 11,709.87 × 3,189.57
  4. Step 4: Simplify right side
    7,806.57x = 37,349,450.06
  5. Step 5: Solve for x
    x = 37,349,450.06/7,806.57
  6. Step 6: Final answer
    x = 4,784.36

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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.