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Finding the Fourth Proportional to 7,956, 10,979.28 and 4,814.64

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Solution

The fourth proportional to 7,956, 10,979.28 and 4,814.64 is: 6,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956 : 10,979.28 = 4,814.64 : x
  2. Step 2: Convert to fraction form
    7,956/10,979.28 = 4,814.64/x
  3. Step 3: Cross multiply
    7,956x = 10,979.28 × 4,814.64
  4. Step 4: Simplify right side
    7,956x = 52,861,280.66
  5. Step 5: Solve for x
    x = 52,861,280.66/7,956
  6. Step 6: Final answer
    x = 6,644.20

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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.