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Finding the Fourth Proportional to 7,672.39, 11,509.25 and 2,125.74

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Solution

The fourth proportional to 7,672.39, 11,509.25 and 2,125.74 is: 3,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.39 : 11,509.25 = 2,125.74 : x
  2. Step 2: Convert to fraction form
    7,672.39/11,509.25 = 2,125.74/x
  3. Step 3: Cross multiply
    7,672.39x = 11,509.25 × 2,125.74
  4. Step 4: Simplify right side
    7,672.39x = 24,465,673.10
  5. Step 5: Solve for x
    x = 24,465,673.10/7,672.39
  6. Step 6: Final answer
    x = 3,188.79

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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.