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Finding the Fourth Proportional to 7,716.84, 11,572.84 and 2,785.84

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Solution

The fourth proportional to 7,716.84, 11,572.84 and 2,785.84 is: 4,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.84 : 11,572.84 = 2,785.84 : x
  2. Step 2: Convert to fraction form
    7,716.84/11,572.84 = 2,785.84/x
  3. Step 3: Cross multiply
    7,716.84x = 11,572.84 × 2,785.84
  4. Step 4: Simplify right side
    7,716.84x = 32,240,080.59
  5. Step 5: Solve for x
    x = 32,240,080.59/7,716.84
  6. Step 6: Final answer
    x = 4,177.89

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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.