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Finding the Fourth Proportional to 8,416.44, 12,609 and 5,289.84

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Solution

The fourth proportional to 8,416.44, 12,609 and 5,289.84 is: 7,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.44 : 12,609 = 5,289.84 : x
  2. Step 2: Convert to fraction form
    8,416.44/12,609 = 5,289.84/x
  3. Step 3: Cross multiply
    8,416.44x = 12,609 × 5,289.84
  4. Step 4: Simplify right side
    8,416.44x = 66,699,592.56
  5. Step 5: Solve for x
    x = 66,699,592.56/8,416.44
  6. Step 6: Final answer
    x = 7,924.92

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1.5x scale

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.