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Finding the Fourth Proportional to 8,123.32, 12,185.01 and 1,967.32

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Solution

The fourth proportional to 8,123.32, 12,185.01 and 1,967.32 is: 2,950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.32 : 12,185.01 = 1,967.32 : x
  2. Step 2: Convert to fraction form
    8,123.32/12,185.01 = 1,967.32/x
  3. Step 3: Cross multiply
    8,123.32x = 12,185.01 × 1,967.32
  4. Step 4: Simplify right side
    8,123.32x = 23,971,813.87
  5. Step 5: Solve for x
    x = 23,971,813.87/8,123.32
  6. Step 6: Final answer
    x = 2,950.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.