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Finding the Fourth Proportional to 13,457.54, 20,183.60 and 8,457.68

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Solution

The fourth proportional to 13,457.54, 20,183.60 and 8,457.68 is: 12,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.54 : 20,183.60 = 8,457.68 : x
  2. Step 2: Convert to fraction form
    13,457.54/20,183.60 = 8,457.68/x
  3. Step 3: Cross multiply
    13,457.54x = 20,183.60 × 8,457.68
  4. Step 4: Simplify right side
    13,457.54x = 170,706,430.05
  5. Step 5: Solve for x
    x = 170,706,430.05/13,457.54
  6. Step 6: Final answer
    x = 12,684.82

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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.