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Finding the Fourth Proportional to 29,431.96, 40,616.40 and 16,856.44

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Solution

The fourth proportional to 29,431.96, 40,616.40 and 16,856.44 is: 23,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.96 : 40,616.40 = 16,856.44 : x
  2. Step 2: Convert to fraction form
    29,431.96/40,616.40 = 16,856.44/x
  3. Step 3: Cross multiply
    29,431.96x = 40,616.40 × 16,856.44
  4. Step 4: Simplify right side
    29,431.96x = 684,647,909.62
  5. Step 5: Solve for x
    x = 684,647,909.62/29,431.96
  6. Step 6: Final answer
    x = 23,262.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.