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Finding the Fourth Proportional to 20,803.15, 28,722.20 and 12,308

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Solution

The fourth proportional to 20,803.15, 28,722.20 and 12,308 is: 16,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.15 : 28,722.20 = 12,308 : x
  2. Step 2: Convert to fraction form
    20,803.15/28,722.20 = 12,308/x
  3. Step 3: Cross multiply
    20,803.15x = 28,722.20 × 12,308
  4. Step 4: Simplify right side
    20,803.15x = 353,512,776.06
  5. Step 5: Solve for x
    x = 353,512,776.06/20,803.15
  6. Step 6: Final answer
    x = 16,993.24

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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.