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Finding the Fourth Proportional to 8,462.76, 12,668.52 and 7,682.76

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Solution

The fourth proportional to 8,462.76, 12,668.52 and 7,682.76 is: 11,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.76 : 12,668.52 = 7,682.76 : x
  2. Step 2: Convert to fraction form
    8,462.76/12,668.52 = 7,682.76/x
  3. Step 3: Cross multiply
    8,462.76x = 12,668.52 × 7,682.76
  4. Step 4: Simplify right side
    8,462.76x = 97,329,198.72
  5. Step 5: Solve for x
    x = 97,329,198.72/8,462.76
  6. Step 6: Final answer
    x = 11,500.88

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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.