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Finding the Fourth Proportional to 12,101.63, 18,153.12 and 3,782.80

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Solution

The fourth proportional to 12,101.63, 18,153.12 and 3,782.80 is: 5,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.63 : 18,153.12 = 3,782.80 : x
  2. Step 2: Convert to fraction form
    12,101.63/18,153.12 = 3,782.80/x
  3. Step 3: Cross multiply
    12,101.63x = 18,153.12 × 3,782.80
  4. Step 4: Simplify right side
    12,101.63x = 68,669,622.34
  5. Step 5: Solve for x
    x = 68,669,622.34/12,101.63
  6. Step 6: Final answer
    x = 5,674.41

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1.5x scale

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.