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Finding the Fourth Proportional to 10,858.34, 14,986.84 and 7,074.73

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Solution

The fourth proportional to 10,858.34, 14,986.84 and 7,074.73 is: 9,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.34 : 14,986.84 = 7,074.73 : x
  2. Step 2: Convert to fraction form
    10,858.34/14,986.84 = 7,074.73/x
  3. Step 3: Cross multiply
    10,858.34x = 14,986.84 × 7,074.73
  4. Step 4: Simplify right side
    10,858.34x = 106,027,846.55
  5. Step 5: Solve for x
    x = 106,027,846.55/10,858.34
  6. Step 6: Final answer
    x = 9,764.65

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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.