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Finding the Fourth Proportional to 20,920.50, 28,871.64 and 11,970.90

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Solution

The fourth proportional to 20,920.50, 28,871.64 and 11,970.90 is: 16,520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.50 : 28,871.64 = 11,970.90 : x
  2. Step 2: Convert to fraction form
    20,920.50/28,871.64 = 11,970.90/x
  3. Step 3: Cross multiply
    20,920.50x = 28,871.64 × 11,970.90
  4. Step 4: Simplify right side
    20,920.50x = 345,619,515.28
  5. Step 5: Solve for x
    x = 345,619,515.28/20,920.50
  6. Step 6: Final answer
    x = 16,520.61

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1.5x scale

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.