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Finding the Fourth Proportional to 20,909.84, 28,869.09 and 12,960.50

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Solution

The fourth proportional to 20,909.84, 28,869.09 and 12,960.50 is: 17,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909.84 : 28,869.09 = 12,960.50 : x
  2. Step 2: Convert to fraction form
    20,909.84/28,869.09 = 12,960.50/x
  3. Step 3: Cross multiply
    20,909.84x = 28,869.09 × 12,960.50
  4. Step 4: Simplify right side
    20,909.84x = 374,157,840.95
  5. Step 5: Solve for x
    x = 374,157,840.95/20,909.84
  6. Step 6: Final answer
    x = 17,893.86

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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.