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Finding the Fourth Proportional to 12,910, 19,366.08 and 3,676

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Solution

The fourth proportional to 12,910, 19,366.08 and 3,676 is: 5,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910 : 19,366.08 = 3,676 : x
  2. Step 2: Convert to fraction form
    12,910/19,366.08 = 3,676/x
  3. Step 3: Cross multiply
    12,910x = 19,366.08 × 3,676
  4. Step 4: Simplify right side
    12,910x = 71,189,710.08
  5. Step 5: Solve for x
    x = 71,189,710.08/12,910
  6. Step 6: Final answer
    x = 5,514.31

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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.