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Finding the Fourth Proportional to 13,604.14, 20,378.51 and 12,470.14

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Solution

The fourth proportional to 13,604.14, 20,378.51 and 12,470.14 is: 18,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.14 : 20,378.51 = 12,470.14 : x
  2. Step 2: Convert to fraction form
    13,604.14/20,378.51 = 12,470.14/x
  3. Step 3: Cross multiply
    13,604.14x = 20,378.51 × 12,470.14
  4. Step 4: Simplify right side
    13,604.14x = 254,122,872.69
  5. Step 5: Solve for x
    x = 254,122,872.69/13,604.14
  6. Step 6: Final answer
    x = 18,679.82

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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.