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Finding the Fourth Proportional to 16,771.68, 25,156.80 and 5,677.92

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Solution

The fourth proportional to 16,771.68, 25,156.80 and 5,677.92 is: 8,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,771.68 : 25,156.80 = 5,677.92 : x
  2. Step 2: Convert to fraction form
    16,771.68/25,156.80 = 5,677.92/x
  3. Step 3: Cross multiply
    16,771.68x = 25,156.80 × 5,677.92
  4. Step 4: Simplify right side
    16,771.68x = 142,838,297.86
  5. Step 5: Solve for x
    x = 142,838,297.86/16,771.68
  6. Step 6: Final answer
    x = 8,516.64

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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.