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Finding the Fourth Proportional to 12,837, 19,255.50 and 4,629

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Solution

The fourth proportional to 12,837, 19,255.50 and 4,629 is: 6,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837 : 19,255.50 = 4,629 : x
  2. Step 2: Convert to fraction form
    12,837/19,255.50 = 4,629/x
  3. Step 3: Cross multiply
    12,837x = 19,255.50 × 4,629
  4. Step 4: Simplify right side
    12,837x = 89,133,709.50
  5. Step 5: Solve for x
    x = 89,133,709.50/12,837
  6. Step 6: Final answer
    x = 6,943.50

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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.