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Finding the Fourth Proportional to 8,125.50, 12,188.28 and 1,969.50

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Solution

The fourth proportional to 8,125.50, 12,188.28 and 1,969.50 is: 2,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.50 : 12,188.28 = 1,969.50 : x
  2. Step 2: Convert to fraction form
    8,125.50/12,188.28 = 1,969.50/x
  3. Step 3: Cross multiply
    8,125.50x = 12,188.28 × 1,969.50
  4. Step 4: Simplify right side
    8,125.50x = 24,004,817.46
  5. Step 5: Solve for x
    x = 24,004,817.46/8,125.50
  6. Step 6: Final answer
    x = 2,954.26

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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.