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Finding the Fourth Proportional to 8,295.42, 12,442.68 and 3,100.86

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Solution

The fourth proportional to 8,295.42, 12,442.68 and 3,100.86 is: 4,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.42 : 12,442.68 = 3,100.86 : x
  2. Step 2: Convert to fraction form
    8,295.42/12,442.68 = 3,100.86/x
  3. Step 3: Cross multiply
    8,295.42x = 12,442.68 × 3,100.86
  4. Step 4: Simplify right side
    8,295.42x = 38,583,008.70
  5. Step 5: Solve for x
    x = 38,583,008.70/8,295.42
  6. Step 6: Final answer
    x = 4,651.12

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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.