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Finding the Fourth Proportional to 12,322.54, 18,487.05 and 5,745.34

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Solution

The fourth proportional to 12,322.54, 18,487.05 and 5,745.34 is: 8,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.54 : 18,487.05 = 5,745.34 : x
  2. Step 2: Convert to fraction form
    12,322.54/18,487.05 = 5,745.34/x
  3. Step 3: Cross multiply
    12,322.54x = 18,487.05 × 5,745.34
  4. Step 4: Simplify right side
    12,322.54x = 106,214,387.85
  5. Step 5: Solve for x
    x = 106,214,387.85/12,322.54
  6. Step 6: Final answer
    x = 8,619.52

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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.