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Finding the Fourth Proportional to 12,023.85, 18,023.54 and 8,128.65

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Solution

The fourth proportional to 12,023.85, 18,023.54 and 8,128.65 is: 12,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.85 : 18,023.54 = 8,128.65 : x
  2. Step 2: Convert to fraction form
    12,023.85/18,023.54 = 8,128.65/x
  3. Step 3: Cross multiply
    12,023.85x = 18,023.54 × 8,128.65
  4. Step 4: Simplify right side
    12,023.85x = 146,507,007.78
  5. Step 5: Solve for x
    x = 146,507,007.78/12,023.85
  6. Step 6: Final answer
    x = 12,184.70

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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.