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Finding the Fourth Proportional to 8,412, 12,619.20 and 2,865.84

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Solution

The fourth proportional to 8,412, 12,619.20 and 2,865.84 is: 4,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412 : 12,619.20 = 2,865.84 : x
  2. Step 2: Convert to fraction form
    8,412/12,619.20 = 2,865.84/x
  3. Step 3: Cross multiply
    8,412x = 12,619.20 × 2,865.84
  4. Step 4: Simplify right side
    8,412x = 36,164,608.13
  5. Step 5: Solve for x
    x = 36,164,608.13/8,412
  6. Step 6: Final answer
    x = 4,299.17

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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.