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Finding the Fourth Proportional to 16,431.46, 24,639.90 and 10,191.22

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Solution

The fourth proportional to 16,431.46, 24,639.90 and 10,191.22 is: 15,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.46 : 24,639.90 = 10,191.22 : x
  2. Step 2: Convert to fraction form
    16,431.46/24,639.90 = 10,191.22/x
  3. Step 3: Cross multiply
    16,431.46x = 24,639.90 × 10,191.22
  4. Step 4: Simplify right side
    16,431.46x = 251,110,541.86
  5. Step 5: Solve for x
    x = 251,110,541.86/16,431.46
  6. Step 6: Final answer
    x = 15,282.30

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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.