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Finding the Fourth Proportional to 13,487.52, 18,622.80 and 8,189.49

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Solution

The fourth proportional to 13,487.52, 18,622.80 and 8,189.49 is: 11,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.52 : 18,622.80 = 8,189.49 : x
  2. Step 2: Convert to fraction form
    13,487.52/18,622.80 = 8,189.49/x
  3. Step 3: Cross multiply
    13,487.52x = 18,622.80 × 8,189.49
  4. Step 4: Simplify right side
    13,487.52x = 152,511,234.37
  5. Step 5: Solve for x
    x = 152,511,234.37/13,487.52
  6. Step 6: Final answer
    x = 11,307.58

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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.