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Finding the Fourth Proportional to 7,682.79, 11,526 and 2,488.67

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Solution

The fourth proportional to 7,682.79, 11,526 and 2,488.67 is: 3,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.79 : 11,526 = 2,488.67 : x
  2. Step 2: Convert to fraction form
    7,682.79/11,526 = 2,488.67/x
  3. Step 3: Cross multiply
    7,682.79x = 11,526 × 2,488.67
  4. Step 4: Simplify right side
    7,682.79x = 28,684,410.42
  5. Step 5: Solve for x
    x = 28,684,410.42/7,682.79
  6. Step 6: Final answer
    x = 3,733.59

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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.