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Finding the Fourth Proportional to 13,722.57, 18,938.48 and 8,420.85

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Solution

The fourth proportional to 13,722.57, 18,938.48 and 8,420.85 is: 11,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.57 : 18,938.48 = 8,420.85 : x
  2. Step 2: Convert to fraction form
    13,722.57/18,938.48 = 8,420.85/x
  3. Step 3: Cross multiply
    13,722.57x = 18,938.48 × 8,420.85
  4. Step 4: Simplify right side
    13,722.57x = 159,478,057.20
  5. Step 5: Solve for x
    x = 159,478,057.20/13,722.57
  6. Step 6: Final answer
    x = 11,621.59

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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.