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Finding the Fourth Proportional to 7,790.77, 11,686.29 and 2,857.74

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Solution

The fourth proportional to 7,790.77, 11,686.29 and 2,857.74 is: 4,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.77 : 11,686.29 = 2,857.74 : x
  2. Step 2: Convert to fraction form
    7,790.77/11,686.29 = 2,857.74/x
  3. Step 3: Cross multiply
    7,790.77x = 11,686.29 × 2,857.74
  4. Step 4: Simplify right side
    7,790.77x = 33,396,378.38
  5. Step 5: Solve for x
    x = 33,396,378.38/7,790.77
  6. Step 6: Final answer
    x = 4,286.66

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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.