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Finding the Fourth Proportional to 12,000.10, 18,000.15 and 3,680.05

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Solution

The fourth proportional to 12,000.10, 18,000.15 and 3,680.05 is: 5,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.10 : 18,000.15 = 3,680.05 : x
  2. Step 2: Convert to fraction form
    12,000.10/18,000.15 = 3,680.05/x
  3. Step 3: Cross multiply
    12,000.10x = 18,000.15 × 3,680.05
  4. Step 4: Simplify right side
    12,000.10x = 66,241,452.01
  5. Step 5: Solve for x
    x = 66,241,452.01/12,000.10
  6. Step 6: Final answer
    x = 5,520.08

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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.