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Finding the Fourth Proportional to 10,865.88, 14,993.82 and 6,149.34

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Solution

The fourth proportional to 10,865.88, 14,993.82 and 6,149.34 is: 8,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.88 : 14,993.82 = 6,149.34 : x
  2. Step 2: Convert to fraction form
    10,865.88/14,993.82 = 6,149.34/x
  3. Step 3: Cross multiply
    10,865.88x = 14,993.82 × 6,149.34
  4. Step 4: Simplify right side
    10,865.88x = 92,202,097.08
  5. Step 5: Solve for x
    x = 92,202,097.08/10,865.88
  6. Step 6: Final answer
    x = 8,485.47

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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.