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Finding the Fourth Proportional to 7,708.67, 11,563.00 and 1,865.28

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Solution

The fourth proportional to 7,708.67, 11,563.00 and 1,865.28 is: 2,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.67 : 11,563.00 = 1,865.28 : x
  2. Step 2: Convert to fraction form
    7,708.67/11,563.00 = 1,865.28/x
  3. Step 3: Cross multiply
    7,708.67x = 11,563.00 × 1,865.28
  4. Step 4: Simplify right side
    7,708.67x = 21,568,206.30
  5. Step 5: Solve for x
    x = 21,568,206.30/7,708.67
  6. Step 6: Final answer
    x = 2,797.92

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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.