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Finding the Fourth Proportional to 12,698.20, 19,047.09 and 3,464.20

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Solution

The fourth proportional to 12,698.20, 19,047.09 and 3,464.20 is: 5,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.20 : 19,047.09 = 3,464.20 : x
  2. Step 2: Convert to fraction form
    12,698.20/19,047.09 = 3,464.20/x
  3. Step 3: Cross multiply
    12,698.20x = 19,047.09 × 3,464.20
  4. Step 4: Simplify right side
    12,698.20x = 65,982,833.94
  5. Step 5: Solve for x
    x = 65,982,833.94/12,698.20
  6. Step 6: Final answer
    x = 5,196.24

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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.