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Finding the Fourth Proportional to 45,837, 68,755.50 and 13,005

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Solution

The fourth proportional to 45,837, 68,755.50 and 13,005 is: 19,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,837 : 68,755.50 = 13,005 : x
  2. Step 2: Convert to fraction form
    45,837/68,755.50 = 13,005/x
  3. Step 3: Cross multiply
    45,837x = 68,755.50 × 13,005
  4. Step 4: Simplify right side
    45,837x = 894,165,277.50
  5. Step 5: Solve for x
    x = 894,165,277.50/45,837
  6. Step 6: Final answer
    x = 19,507.50

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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.