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Finding the Fourth Proportional to 13,697.98, 18,906.26 and 8,909.60

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Solution

The fourth proportional to 13,697.98, 18,906.26 and 8,909.60 is: 12,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.98 : 18,906.26 = 8,909.60 : x
  2. Step 2: Convert to fraction form
    13,697.98/18,906.26 = 8,909.60/x
  3. Step 3: Cross multiply
    13,697.98x = 18,906.26 × 8,909.60
  4. Step 4: Simplify right side
    13,697.98x = 168,447,214.10
  5. Step 5: Solve for x
    x = 168,447,214.10/13,697.98
  6. Step 6: Final answer
    x = 12,297.23

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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.