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Finding the Fourth Proportional to 14,956.94, 20,640.71 and 8,242.80

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Solution

The fourth proportional to 14,956.94, 20,640.71 and 8,242.80 is: 11,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,956.94 : 20,640.71 = 8,242.80 : x
  2. Step 2: Convert to fraction form
    14,956.94/20,640.71 = 8,242.80/x
  3. Step 3: Cross multiply
    14,956.94x = 20,640.71 × 8,242.80
  4. Step 4: Simplify right side
    14,956.94x = 170,137,203.17
  5. Step 5: Solve for x
    x = 170,137,203.17/14,956.94
  6. Step 6: Final answer
    x = 11,375.14

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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.