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Finding the Fourth Proportional to 7,857.79, 10,861.08 and 6,906.44

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Solution

The fourth proportional to 7,857.79, 10,861.08 and 6,906.44 is: 9,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.79 : 10,861.08 = 6,906.44 : x
  2. Step 2: Convert to fraction form
    7,857.79/10,861.08 = 6,906.44/x
  3. Step 3: Cross multiply
    7,857.79x = 10,861.08 × 6,906.44
  4. Step 4: Simplify right side
    7,857.79x = 75,011,397.36
  5. Step 5: Solve for x
    x = 75,011,397.36/7,857.79
  6. Step 6: Final answer
    x = 9,546.12

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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.