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Finding the Fourth Proportional to 7,861.52, 11,786.52 and 6,715.28

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Solution

The fourth proportional to 7,861.52, 11,786.52 and 6,715.28 is: 10,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.52 : 11,786.52 = 6,715.28 : x
  2. Step 2: Convert to fraction form
    7,861.52/11,786.52 = 6,715.28/x
  3. Step 3: Cross multiply
    7,861.52x = 11,786.52 × 6,715.28
  4. Step 4: Simplify right side
    7,861.52x = 79,149,782.03
  5. Step 5: Solve for x
    x = 79,149,782.03/7,861.52
  6. Step 6: Final answer
    x = 10,068.00

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Why These Related Problems?

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