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Finding the Fourth Proportional to 7,690.34, 11,538.95 and 3,739.43

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Solution

The fourth proportional to 7,690.34, 11,538.95 and 3,739.43 is: 5,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.34 : 11,538.95 = 3,739.43 : x
  2. Step 2: Convert to fraction form
    7,690.34/11,538.95 = 3,739.43/x
  3. Step 3: Cross multiply
    7,690.34x = 11,538.95 × 3,739.43
  4. Step 4: Simplify right side
    7,690.34x = 43,149,095.80
  5. Step 5: Solve for x
    x = 43,149,095.80/7,690.34
  6. Step 6: Final answer
    x = 5,610.82

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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.