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Finding the Fourth Proportional to 13,674.94, 18,874.15 and 7,706.71

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Solution

The fourth proportional to 13,674.94, 18,874.15 and 7,706.71 is: 10,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.94 : 18,874.15 = 7,706.71 : x
  2. Step 2: Convert to fraction form
    13,674.94/18,874.15 = 7,706.71/x
  3. Step 3: Cross multiply
    13,674.94x = 18,874.15 × 7,706.71
  4. Step 4: Simplify right side
    13,674.94x = 145,457,604.87
  5. Step 5: Solve for x
    x = 145,457,604.87/13,674.94
  6. Step 6: Final answer
    x = 10,636.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.