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Finding the Fourth Proportional to 8,651.74, 11,942.22 and 6,412.90

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Solution

The fourth proportional to 8,651.74, 11,942.22 and 6,412.90 is: 8,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.74 : 11,942.22 = 6,412.90 : x
  2. Step 2: Convert to fraction form
    8,651.74/11,942.22 = 6,412.90/x
  3. Step 3: Cross multiply
    8,651.74x = 11,942.22 × 6,412.90
  4. Step 4: Simplify right side
    8,651.74x = 76,584,262.64
  5. Step 5: Solve for x
    x = 76,584,262.64/8,651.74
  6. Step 6: Final answer
    x = 8,851.89

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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.