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Finding the Fourth Proportional to 16,420.08, 24,645.48 and 8,109.48

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Solution

The fourth proportional to 16,420.08, 24,645.48 and 8,109.48 is: 12,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.08 : 24,645.48 = 8,109.48 : x
  2. Step 2: Convert to fraction form
    16,420.08/24,645.48 = 8,109.48/x
  3. Step 3: Cross multiply
    16,420.08x = 24,645.48 × 8,109.48
  4. Step 4: Simplify right side
    16,420.08x = 199,862,027.15
  5. Step 5: Solve for x
    x = 199,862,027.15/16,420.08
  6. Step 6: Final answer
    x = 12,171.81

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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.