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Finding the Fourth Proportional to 20,457, 30,685.50 and 8,153.64

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Solution

The fourth proportional to 20,457, 30,685.50 and 8,153.64 is: 12,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457 : 30,685.50 = 8,153.64 : x
  2. Step 2: Convert to fraction form
    20,457/30,685.50 = 8,153.64/x
  3. Step 3: Cross multiply
    20,457x = 30,685.50 × 8,153.64
  4. Step 4: Simplify right side
    20,457x = 250,198,520.22
  5. Step 5: Solve for x
    x = 250,198,520.22/20,457
  6. Step 6: Final answer
    x = 12,230.46

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.