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Finding the Fourth Proportional to 7,672.61, 11,505.74 and 2,405.85

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Solution

The fourth proportional to 7,672.61, 11,505.74 and 2,405.85 is: 3,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.61 : 11,505.74 = 2,405.85 : x
  2. Step 2: Convert to fraction form
    7,672.61/11,505.74 = 2,405.85/x
  3. Step 3: Cross multiply
    7,672.61x = 11,505.74 × 2,405.85
  4. Step 4: Simplify right side
    7,672.61x = 27,681,072.55
  5. Step 5: Solve for x
    x = 27,681,072.55/7,672.61
  6. Step 6: Final answer
    x = 3,607.78

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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.