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Finding the Fourth Proportional to 7,813.82, 11,723.43 and 4,888.64

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Solution

The fourth proportional to 7,813.82, 11,723.43 and 4,888.64 is: 7,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.82 : 11,723.43 = 4,888.64 : x
  2. Step 2: Convert to fraction form
    7,813.82/11,723.43 = 4,888.64/x
  3. Step 3: Cross multiply
    7,813.82x = 11,723.43 × 4,888.64
  4. Step 4: Simplify right side
    7,813.82x = 57,311,628.84
  5. Step 5: Solve for x
    x = 57,311,628.84/7,813.82
  6. Step 6: Final answer
    x = 7,334.65

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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.