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Finding the Fourth Proportional to 20,000.71, 27,602.13 and 12,045.50

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Solution

The fourth proportional to 20,000.71, 27,602.13 and 12,045.50 is: 16,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.71 : 27,602.13 = 12,045.50 : x
  2. Step 2: Convert to fraction form
    20,000.71/27,602.13 = 12,045.50/x
  3. Step 3: Cross multiply
    20,000.71x = 27,602.13 × 12,045.50
  4. Step 4: Simplify right side
    20,000.71x = 332,481,456.92
  5. Step 5: Solve for x
    x = 332,481,456.92/20,000.71
  6. Step 6: Final answer
    x = 16,623.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.