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Finding the Fourth Proportional to 13,137, 19,705.50 and 3,903

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Solution

The fourth proportional to 13,137, 19,705.50 and 3,903 is: 5,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137 : 19,705.50 = 3,903 : x
  2. Step 2: Convert to fraction form
    13,137/19,705.50 = 3,903/x
  3. Step 3: Cross multiply
    13,137x = 19,705.50 × 3,903
  4. Step 4: Simplify right side
    13,137x = 76,910,566.50
  5. Step 5: Solve for x
    x = 76,910,566.50/13,137
  6. Step 6: Final answer
    x = 5,854.50

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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.