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Finding the Fourth Proportional to 8,412.86, 12,619.64 and 3,147.32

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Solution

The fourth proportional to 8,412.86, 12,619.64 and 3,147.32 is: 4,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.86 : 12,619.64 = 3,147.32 : x
  2. Step 2: Convert to fraction form
    8,412.86/12,619.64 = 3,147.32/x
  3. Step 3: Cross multiply
    8,412.86x = 12,619.64 × 3,147.32
  4. Step 4: Simplify right side
    8,412.86x = 39,718,084.78
  5. Step 5: Solve for x
    x = 39,718,084.78/8,412.86
  6. Step 6: Final answer
    x = 4,721.11

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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.