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Finding the Fourth Proportional to 16,270.80, 24,406.19 and 8,494.80

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Solution

The fourth proportional to 16,270.80, 24,406.19 and 8,494.80 is: 12,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270.80 : 24,406.19 = 8,494.80 : x
  2. Step 2: Convert to fraction form
    16,270.80/24,406.19 = 8,494.80/x
  3. Step 3: Cross multiply
    16,270.80x = 24,406.19 × 8,494.80
  4. Step 4: Simplify right side
    16,270.80x = 207,325,702.81
  5. Step 5: Solve for x
    x = 207,325,702.81/16,270.80
  6. Step 6: Final answer
    x = 12,742.19

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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.