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Finding the Fourth Proportional to 7,958.68, 10,946.46 and 6,383.32

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Solution

The fourth proportional to 7,958.68, 10,946.46 and 6,383.32 is: 8,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.68 : 10,946.46 = 6,383.32 : x
  2. Step 2: Convert to fraction form
    7,958.68/10,946.46 = 6,383.32/x
  3. Step 3: Cross multiply
    7,958.68x = 10,946.46 × 6,383.32
  4. Step 4: Simplify right side
    7,958.68x = 69,874,757.05
  5. Step 5: Solve for x
    x = 69,874,757.05/7,958.68
  6. Step 6: Final answer
    x = 8,779.69

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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.