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Finding the Fourth Proportional to 13,874.50, 20,800.92 and 9,420.42

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Solution

The fourth proportional to 13,874.50, 20,800.92 and 9,420.42 is: 14,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.50 : 20,800.92 = 9,420.42 : x
  2. Step 2: Convert to fraction form
    13,874.50/20,800.92 = 9,420.42/x
  3. Step 3: Cross multiply
    13,874.50x = 20,800.92 × 9,420.42
  4. Step 4: Simplify right side
    13,874.50x = 195,953,402.79
  5. Step 5: Solve for x
    x = 195,953,402.79/13,874.50
  6. Step 6: Final answer
    x = 14,123.28

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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.