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Finding the Fourth Proportional to 8,123, 12,184.50 and 1,967

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Solution

The fourth proportional to 8,123, 12,184.50 and 1,967 is: 2,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123 : 12,184.50 = 1,967 : x
  2. Step 2: Convert to fraction form
    8,123/12,184.50 = 1,967/x
  3. Step 3: Cross multiply
    8,123x = 12,184.50 × 1,967
  4. Step 4: Simplify right side
    8,123x = 23,966,911.50
  5. Step 5: Solve for x
    x = 23,966,911.50/8,123
  6. Step 6: Final answer
    x = 2,950.50

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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.