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Finding the Fourth Proportional to 19,182.84, 28,781.28 and 8,092.32

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Solution

The fourth proportional to 19,182.84, 28,781.28 and 8,092.32 is: 12,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,182.84 : 28,781.28 = 8,092.32 : x
  2. Step 2: Convert to fraction form
    19,182.84/28,781.28 = 8,092.32/x
  3. Step 3: Cross multiply
    19,182.84x = 28,781.28 × 8,092.32
  4. Step 4: Simplify right side
    19,182.84x = 232,907,327.77
  5. Step 5: Solve for x
    x = 232,907,327.77/19,182.84
  6. Step 6: Final answer
    x = 12,141.44

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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.