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Finding the Fourth Proportional to 16,451.80, 24,693.90 and 8,141.20

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Solution

The fourth proportional to 16,451.80, 24,693.90 and 8,141.20 is: 12,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,451.80 : 24,693.90 = 8,141.20 : x
  2. Step 2: Convert to fraction form
    16,451.80/24,693.90 = 8,141.20/x
  3. Step 3: Cross multiply
    16,451.80x = 24,693.90 × 8,141.20
  4. Step 4: Simplify right side
    16,451.80x = 201,037,978.68
  5. Step 5: Solve for x
    x = 201,037,978.68/16,451.80
  6. Step 6: Final answer
    x = 12,219.82

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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.