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Finding the Fourth Proportional to 18,200.94, 27,301.08 and 8,200.11

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Solution

The fourth proportional to 18,200.94, 27,301.08 and 8,200.11 is: 12,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.94 : 27,301.08 = 8,200.11 : x
  2. Step 2: Convert to fraction form
    18,200.94/27,301.08 = 8,200.11/x
  3. Step 3: Cross multiply
    18,200.94x = 27,301.08 × 8,200.11
  4. Step 4: Simplify right side
    18,200.94x = 223,871,859.12
  5. Step 5: Solve for x
    x = 223,871,859.12/18,200.94
  6. Step 6: Final answer
    x = 12,300.02

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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.