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Finding the Fourth Proportional to 10,687.56, 14,749.14 and 5,972.14

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Solution

The fourth proportional to 10,687.56, 14,749.14 and 5,972.14 is: 8,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.56 : 14,749.14 = 5,972.14 : x
  2. Step 2: Convert to fraction form
    10,687.56/14,749.14 = 5,972.14/x
  3. Step 3: Cross multiply
    10,687.56x = 14,749.14 × 5,972.14
  4. Step 4: Simplify right side
    10,687.56x = 88,083,928.96
  5. Step 5: Solve for x
    x = 88,083,928.96/10,687.56
  6. Step 6: Final answer
    x = 8,241.72

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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.