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Finding the Fourth Proportional to 7,956, 10,971.72 and 4,768.79

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Solution

The fourth proportional to 7,956, 10,971.72 and 4,768.79 is: 6,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956 : 10,971.72 = 4,768.79 : x
  2. Step 2: Convert to fraction form
    7,956/10,971.72 = 4,768.79/x
  3. Step 3: Cross multiply
    7,956x = 10,971.72 × 4,768.79
  4. Step 4: Simplify right side
    7,956x = 52,321,773.76
  5. Step 5: Solve for x
    x = 52,321,773.76/7,956
  6. Step 6: Final answer
    x = 6,576.39

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1.5x scale

Why These Related Problems?

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