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Finding the Fourth Proportional to 7,672.17, 11,489.22 and 6,288.96

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Solution

The fourth proportional to 7,672.17, 11,489.22 and 6,288.96 is: 9,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.17 : 11,489.22 = 6,288.96 : x
  2. Step 2: Convert to fraction form
    7,672.17/11,489.22 = 6,288.96/x
  3. Step 3: Cross multiply
    7,672.17x = 11,489.22 × 6,288.96
  4. Step 4: Simplify right side
    7,672.17x = 72,255,245.01
  5. Step 5: Solve for x
    x = 72,255,245.01/7,672.17
  6. Step 6: Final answer
    x = 9,417.84

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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.