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Finding the Fourth Proportional to 13,406.70, 20,104.90 and 6,381.30

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Solution

The fourth proportional to 13,406.70, 20,104.90 and 6,381.30 is: 9,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.70 : 20,104.90 = 6,381.30 : x
  2. Step 2: Convert to fraction form
    13,406.70/20,104.90 = 6,381.30/x
  3. Step 3: Cross multiply
    13,406.70x = 20,104.90 × 6,381.30
  4. Step 4: Simplify right side
    13,406.70x = 128,295,398.37
  5. Step 5: Solve for x
    x = 128,295,398.37/13,406.70
  6. Step 6: Final answer
    x = 9,569.50

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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.