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Finding the Fourth Proportional to 11,945, 17,917.50 and 3,737

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Solution

The fourth proportional to 11,945, 17,917.50 and 3,737 is: 5,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945 : 17,917.50 = 3,737 : x
  2. Step 2: Convert to fraction form
    11,945/17,917.50 = 3,737/x
  3. Step 3: Cross multiply
    11,945x = 17,917.50 × 3,737
  4. Step 4: Simplify right side
    11,945x = 66,957,697.50
  5. Step 5: Solve for x
    x = 66,957,697.50/11,945
  6. Step 6: Final answer
    x = 5,605.50

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1.5x scale

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.