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Finding the Fourth Proportional to 13,568.70, 20,360 and 6,460.98

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Solution

The fourth proportional to 13,568.70, 20,360 and 6,460.98 is: 9,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.70 : 20,360 = 6,460.98 : x
  2. Step 2: Convert to fraction form
    13,568.70/20,360 = 6,460.98/x
  3. Step 3: Cross multiply
    13,568.70x = 20,360 × 6,460.98
  4. Step 4: Simplify right side
    13,568.70x = 131,545,552.80
  5. Step 5: Solve for x
    x = 131,545,552.80/13,568.70
  6. Step 6: Final answer
    x = 9,694.78

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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.