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Finding the Fourth Proportional to 12,909, 19,363.74 and 3,675.24

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Solution

The fourth proportional to 12,909, 19,363.74 and 3,675.24 is: 5,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909 : 19,363.74 = 3,675.24 : x
  2. Step 2: Convert to fraction form
    12,909/19,363.74 = 3,675.24/x
  3. Step 3: Cross multiply
    12,909x = 19,363.74 × 3,675.24
  4. Step 4: Simplify right side
    12,909x = 71,166,391.80
  5. Step 5: Solve for x
    x = 71,166,391.80/12,909
  6. Step 6: Final answer
    x = 5,512.93

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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.