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Finding the Fourth Proportional to 40,839, 61,258.50 and 13,137

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Solution

The fourth proportional to 40,839, 61,258.50 and 13,137 is: 19,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,839 : 61,258.50 = 13,137 : x
  2. Step 2: Convert to fraction form
    40,839/61,258.50 = 13,137/x
  3. Step 3: Cross multiply
    40,839x = 61,258.50 × 13,137
  4. Step 4: Simplify right side
    40,839x = 804,752,914.50
  5. Step 5: Solve for x
    x = 804,752,914.50/40,839
  6. Step 6: Final answer
    x = 19,705.50

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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.