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Finding the Fourth Proportional to 20,311.68, 30,447.52 and 9,778.72

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Solution

The fourth proportional to 20,311.68, 30,447.52 and 9,778.72 is: 14,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,311.68 : 30,447.52 = 9,778.72 : x
  2. Step 2: Convert to fraction form
    20,311.68/30,447.52 = 9,778.72/x
  3. Step 3: Cross multiply
    20,311.68x = 30,447.52 × 9,778.72
  4. Step 4: Simplify right side
    20,311.68x = 297,737,772.77
  5. Step 5: Solve for x
    x = 297,737,772.77/20,311.68
  6. Step 6: Final answer
    x = 14,658.45

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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.