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Finding the Fourth Proportional to 10,650.94, 14,692.70 and 8,128.65

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Solution

The fourth proportional to 10,650.94, 14,692.70 and 8,128.65 is: 11,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.94 : 14,692.70 = 8,128.65 : x
  2. Step 2: Convert to fraction form
    10,650.94/14,692.70 = 8,128.65/x
  3. Step 3: Cross multiply
    10,650.94x = 14,692.70 × 8,128.65
  4. Step 4: Simplify right side
    10,650.94x = 119,431,891.27
  5. Step 5: Solve for x
    x = 119,431,891.27/10,650.94
  6. Step 6: Final answer
    x = 11,213.28

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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.