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Finding the Fourth Proportional to 12,000.81, 17,984.06 and 8,813.24

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Solution

The fourth proportional to 12,000.81, 17,984.06 and 8,813.24 is: 13,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.81 : 17,984.06 = 8,813.24 : x
  2. Step 2: Convert to fraction form
    12,000.81/17,984.06 = 8,813.24/x
  3. Step 3: Cross multiply
    12,000.81x = 17,984.06 × 8,813.24
  4. Step 4: Simplify right side
    12,000.81x = 158,497,879.83
  5. Step 5: Solve for x
    x = 158,497,879.83/12,000.81
  6. Step 6: Final answer
    x = 13,207.27

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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.