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Finding the Fourth Proportional to 14,626.94, 20,185.10 and 7,912.55

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Solution

The fourth proportional to 14,626.94, 20,185.10 and 7,912.55 is: 10,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,626.94 : 20,185.10 = 7,912.55 : x
  2. Step 2: Convert to fraction form
    14,626.94/20,185.10 = 7,912.55/x
  3. Step 3: Cross multiply
    14,626.94x = 20,185.10 × 7,912.55
  4. Step 4: Simplify right side
    14,626.94x = 159,715,623.90
  5. Step 5: Solve for x
    x = 159,715,623.90/14,626.94
  6. Step 6: Final answer
    x = 10,919.28

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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.