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Finding the Fourth Proportional to 8,419, 12,619.98 and 4,039.60

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Solution

The fourth proportional to 8,419, 12,619.98 and 4,039.60 is: 6,055.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419 : 12,619.98 = 4,039.60 : x
  2. Step 2: Convert to fraction form
    8,419/12,619.98 = 4,039.60/x
  3. Step 3: Cross multiply
    8,419x = 12,619.98 × 4,039.60
  4. Step 4: Simplify right side
    8,419x = 50,979,671.21
  5. Step 5: Solve for x
    x = 50,979,671.21/8,419
  6. Step 6: Final answer
    x = 6,055.31

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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.