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Finding the Fourth Proportional to 11,426.94, 15,771.34 and 6,458.94

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Solution

The fourth proportional to 11,426.94, 15,771.34 and 6,458.94 is: 8,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.94 : 15,771.34 = 6,458.94 : x
  2. Step 2: Convert to fraction form
    11,426.94/15,771.34 = 6,458.94/x
  3. Step 3: Cross multiply
    11,426.94x = 15,771.34 × 6,458.94
  4. Step 4: Simplify right side
    11,426.94x = 101,866,138.78
  5. Step 5: Solve for x
    x = 101,866,138.78/11,426.94
  6. Step 6: Final answer
    x = 8,914.56

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