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Finding the Fourth Proportional to 7,690.59, 11,539.32 and 3,739.68

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Solution

The fourth proportional to 7,690.59, 11,539.32 and 3,739.68 is: 5,611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.59 : 11,539.32 = 3,739.68 : x
  2. Step 2: Convert to fraction form
    7,690.59/11,539.32 = 3,739.68/x
  3. Step 3: Cross multiply
    7,690.59x = 11,539.32 × 3,739.68
  4. Step 4: Simplify right side
    7,690.59x = 43,153,364.22
  5. Step 5: Solve for x
    x = 43,153,364.22/7,690.59
  6. Step 6: Final answer
    x = 5,611.19

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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.