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Finding the Fourth Proportional to 12,698.19, 19,051.20 and 5,684.09

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Solution

The fourth proportional to 12,698.19, 19,051.20 and 5,684.09 is: 8,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.19 : 19,051.20 = 5,684.09 : x
  2. Step 2: Convert to fraction form
    12,698.19/19,051.20 = 5,684.09/x
  3. Step 3: Cross multiply
    12,698.19x = 19,051.20 × 5,684.09
  4. Step 4: Simplify right side
    12,698.19x = 108,288,640.15
  5. Step 5: Solve for x
    x = 108,288,640.15/12,698.19
  6. Step 6: Final answer
    x = 8,527.88

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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.