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Finding the Fourth Proportional to 10,757.95, 14,855.75 and 8,100.75

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Solution

The fourth proportional to 10,757.95, 14,855.75 and 8,100.75 is: 11,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.95 : 14,855.75 = 8,100.75 : x
  2. Step 2: Convert to fraction form
    10,757.95/14,855.75 = 8,100.75/x
  3. Step 3: Cross multiply
    10,757.95x = 14,855.75 × 8,100.75
  4. Step 4: Simplify right side
    10,757.95x = 120,342,716.81
  5. Step 5: Solve for x
    x = 120,342,716.81/10,757.95
  6. Step 6: Final answer
    x = 11,186.40

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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.