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Finding the Fourth Proportional to 7,757.64, 11,636.64 and 7,155.81

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Solution

The fourth proportional to 7,757.64, 11,636.64 and 7,155.81 is: 10,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.64 : 11,636.64 = 7,155.81 : x
  2. Step 2: Convert to fraction form
    7,757.64/11,636.64 = 7,155.81/x
  3. Step 3: Cross multiply
    7,757.64x = 11,636.64 × 7,155.81
  4. Step 4: Simplify right side
    7,757.64x = 83,269,584.88
  5. Step 5: Solve for x
    x = 83,269,584.88/7,757.64
  6. Step 6: Final answer
    x = 10,733.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.