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Finding the Fourth Proportional to 20,503.21, 30,738.16 and 8,649.32

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Solution

The fourth proportional to 20,503.21, 30,738.16 and 8,649.32 is: 12,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.21 : 30,738.16 = 8,649.32 : x
  2. Step 2: Convert to fraction form
    20,503.21/30,738.16 = 8,649.32/x
  3. Step 3: Cross multiply
    20,503.21x = 30,738.16 × 8,649.32
  4. Step 4: Simplify right side
    20,503.21x = 265,864,006.74
  5. Step 5: Solve for x
    x = 265,864,006.74/20,503.21
  6. Step 6: Final answer
    x = 12,966.95

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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.