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Finding the Fourth Proportional to 7,682.58, 11,516.58 and 2,749.68

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Solution

The fourth proportional to 7,682.58, 11,516.58 and 2,749.68 is: 4,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.58 : 11,516.58 = 2,749.68 : x
  2. Step 2: Convert to fraction form
    7,682.58/11,516.58 = 2,749.68/x
  3. Step 3: Cross multiply
    7,682.58x = 11,516.58 × 2,749.68
  4. Step 4: Simplify right side
    7,682.58x = 31,666,909.69
  5. Step 5: Solve for x
    x = 31,666,909.69/7,682.58
  6. Step 6: Final answer
    x = 4,121.91

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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.