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Finding the Fourth Proportional to 13,138.66, 19,705.83 and 3,902.50

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Solution

The fourth proportional to 13,138.66, 19,705.83 and 3,902.50 is: 5,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.66 : 19,705.83 = 3,902.50 : x
  2. Step 2: Convert to fraction form
    13,138.66/19,705.83 = 3,902.50/x
  3. Step 3: Cross multiply
    13,138.66x = 19,705.83 × 3,902.50
  4. Step 4: Simplify right side
    13,138.66x = 76,902,001.58
  5. Step 5: Solve for x
    x = 76,902,001.58/13,138.66
  6. Step 6: Final answer
    x = 5,853.11

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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.