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Finding the Fourth Proportional to 12,109.50, 18,164.25 and 3,901.50

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Solution

The fourth proportional to 12,109.50, 18,164.25 and 3,901.50 is: 5,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.50 : 18,164.25 = 3,901.50 : x
  2. Step 2: Convert to fraction form
    12,109.50/18,164.25 = 3,901.50/x
  3. Step 3: Cross multiply
    12,109.50x = 18,164.25 × 3,901.50
  4. Step 4: Simplify right side
    12,109.50x = 70,867,821.38
  5. Step 5: Solve for x
    x = 70,867,821.38/12,109.50
  6. Step 6: Final answer
    x = 5,852.25

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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.