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Finding the Fourth Proportional to 7,706.59, 11,559.87 and 1,863.20

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Solution

The fourth proportional to 7,706.59, 11,559.87 and 1,863.20 is: 2,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.59 : 11,559.87 = 1,863.20 : x
  2. Step 2: Convert to fraction form
    7,706.59/11,559.87 = 1,863.20/x
  3. Step 3: Cross multiply
    7,706.59x = 11,559.87 × 1,863.20
  4. Step 4: Simplify right side
    7,706.59x = 21,538,378.68
  5. Step 5: Solve for x
    x = 21,538,378.68/7,706.59
  6. Step 6: Final answer
    x = 2,794.80

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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.