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Finding the Fourth Proportional to 20,457, 30,692.70 and 10,076.04

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Solution

The fourth proportional to 20,457, 30,692.70 and 10,076.04 is: 15,117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457 : 30,692.70 = 10,076.04 : x
  2. Step 2: Convert to fraction form
    20,457/30,692.70 = 10,076.04/x
  3. Step 3: Cross multiply
    20,457x = 30,692.70 × 10,076.04
  4. Step 4: Simplify right side
    20,457x = 309,260,872.91
  5. Step 5: Solve for x
    x = 309,260,872.91/20,457
  6. Step 6: Final answer
    x = 15,117.61

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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.