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Finding the Fourth Proportional to 7,814.12, 11,716 and 3,651.92

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Solution

The fourth proportional to 7,814.12, 11,716 and 3,651.92 is: 5,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.12 : 11,716 = 3,651.92 : x
  2. Step 2: Convert to fraction form
    7,814.12/11,716 = 3,651.92/x
  3. Step 3: Cross multiply
    7,814.12x = 11,716 × 3,651.92
  4. Step 4: Simplify right side
    7,814.12x = 42,785,894.72
  5. Step 5: Solve for x
    x = 42,785,894.72/7,814.12
  6. Step 6: Final answer
    x = 5,475.46

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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.