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Finding the Fourth Proportional to 8,102.95, 12,154.43 and 1,946.95

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Solution

The fourth proportional to 8,102.95, 12,154.43 and 1,946.95 is: 2,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.95 : 12,154.43 = 1,946.95 : x
  2. Step 2: Convert to fraction form
    8,102.95/12,154.43 = 1,946.95/x
  3. Step 3: Cross multiply
    8,102.95x = 12,154.43 × 1,946.95
  4. Step 4: Simplify right side
    8,102.95x = 23,664,104.86
  5. Step 5: Solve for x
    x = 23,664,104.86/8,102.95
  6. Step 6: Final answer
    x = 2,920.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.