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Finding the Fourth Proportional to 8,411.90, 12,619.38 and 3,478.86

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Solution

The fourth proportional to 8,411.90, 12,619.38 and 3,478.86 is: 5,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.90 : 12,619.38 = 3,478.86 : x
  2. Step 2: Convert to fraction form
    8,411.90/12,619.38 = 3,478.86/x
  3. Step 3: Cross multiply
    8,411.90x = 12,619.38 × 3,478.86
  4. Step 4: Simplify right side
    8,411.90x = 43,901,056.31
  5. Step 5: Solve for x
    x = 43,901,056.31/8,411.90
  6. Step 6: Final answer
    x = 5,218.92

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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.