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Finding the Fourth Proportional to 12,489.76, 18,722.80 and 4,276

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Solution

The fourth proportional to 12,489.76, 18,722.80 and 4,276 is: 6,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.76 : 18,722.80 = 4,276 : x
  2. Step 2: Convert to fraction form
    12,489.76/18,722.80 = 4,276/x
  3. Step 3: Cross multiply
    12,489.76x = 18,722.80 × 4,276
  4. Step 4: Simplify right side
    12,489.76x = 80,058,692.80
  5. Step 5: Solve for x
    x = 80,058,692.80/12,489.76
  6. Step 6: Final answer
    x = 6,409.95

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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.