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Finding the Fourth Proportional to 8,495.40, 12,738.96 and 3,563.70

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Solution

The fourth proportional to 8,495.40, 12,738.96 and 3,563.70 is: 5,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.40 : 12,738.96 = 3,563.70 : x
  2. Step 2: Convert to fraction form
    8,495.40/12,738.96 = 3,563.70/x
  3. Step 3: Cross multiply
    8,495.40x = 12,738.96 × 3,563.70
  4. Step 4: Simplify right side
    8,495.40x = 45,397,831.75
  5. Step 5: Solve for x
    x = 45,397,831.75/8,495.40
  6. Step 6: Final answer
    x = 5,343.81

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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.