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Finding the Fourth Proportional to 6,956, 10,438.80 and 2,852

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Solution

The fourth proportional to 6,956, 10,438.80 and 2,852 is: 4,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956 : 10,438.80 = 2,852 : x
  2. Step 2: Convert to fraction form
    6,956/10,438.80 = 2,852/x
  3. Step 3: Cross multiply
    6,956x = 10,438.80 × 2,852
  4. Step 4: Simplify right side
    6,956x = 29,771,457.60
  5. Step 5: Solve for x
    x = 29,771,457.60/6,956
  6. Step 6: Final answer
    x = 4,279.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.