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Finding the Fourth Proportional to 7,804.94, 11,707.43 and 2,872.44

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Solution

The fourth proportional to 7,804.94, 11,707.43 and 2,872.44 is: 4,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.94 : 11,707.43 = 2,872.44 : x
  2. Step 2: Convert to fraction form
    7,804.94/11,707.43 = 2,872.44/x
  3. Step 3: Cross multiply
    7,804.94x = 11,707.43 × 2,872.44
  4. Step 4: Simplify right side
    7,804.94x = 33,628,875.87
  5. Step 5: Solve for x
    x = 33,628,875.87/7,804.94
  6. Step 6: Final answer
    x = 4,308.67

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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.