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Finding the Fourth Proportional to 12,692.81, 19,047.09 and 6,119.66

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Solution

The fourth proportional to 12,692.81, 19,047.09 and 6,119.66 is: 9,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.81 : 19,047.09 = 6,119.66 : x
  2. Step 2: Convert to fraction form
    12,692.81/19,047.09 = 6,119.66/x
  3. Step 3: Cross multiply
    12,692.81x = 19,047.09 × 6,119.66
  4. Step 4: Simplify right side
    12,692.81x = 116,561,714.79
  5. Step 5: Solve for x
    x = 116,561,714.79/12,692.81
  6. Step 6: Final answer
    x = 9,183.29

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1.5x scale

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.