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Finding the Fourth Proportional to 7,561.84, 11,336.64 and 3,398.80

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Solution

The fourth proportional to 7,561.84, 11,336.64 and 3,398.80 is: 5,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.84 : 11,336.64 = 3,398.80 : x
  2. Step 2: Convert to fraction form
    7,561.84/11,336.64 = 3,398.80/x
  3. Step 3: Cross multiply
    7,561.84x = 11,336.64 × 3,398.80
  4. Step 4: Simplify right side
    7,561.84x = 38,530,972.03
  5. Step 5: Solve for x
    x = 38,530,972.03/7,561.84
  6. Step 6: Final answer
    x = 5,095.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.