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Finding the Fourth Proportional to 20,756.96, 28,648.32 and 12,374

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Solution

The fourth proportional to 20,756.96, 28,648.32 and 12,374 is: 17,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,756.96 : 28,648.32 = 12,374 : x
  2. Step 2: Convert to fraction form
    20,756.96/28,648.32 = 12,374/x
  3. Step 3: Cross multiply
    20,756.96x = 28,648.32 × 12,374
  4. Step 4: Simplify right side
    20,756.96x = 354,494,311.68
  5. Step 5: Solve for x
    x = 354,494,311.68/20,756.96
  6. Step 6: Final answer
    x = 17,078.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.