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Finding the Fourth Proportional to 13,721, 20,555.20 and 8,157.50

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Solution

The fourth proportional to 13,721, 20,555.20 and 8,157.50 is: 12,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721 : 20,555.20 = 8,157.50 : x
  2. Step 2: Convert to fraction form
    13,721/20,555.20 = 8,157.50/x
  3. Step 3: Cross multiply
    13,721x = 20,555.20 × 8,157.50
  4. Step 4: Simplify right side
    13,721x = 167,679,044
  5. Step 5: Solve for x
    x = 167,679,044/13,721
  6. Step 6: Final answer
    x = 12,220.61

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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.