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Finding the Fourth Proportional to 7,555.88, 11,329.98 and 3,449

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Solution

The fourth proportional to 7,555.88, 11,329.98 and 3,449 is: 5,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.88 : 11,329.98 = 3,449 : x
  2. Step 2: Convert to fraction form
    7,555.88/11,329.98 = 3,449/x
  3. Step 3: Cross multiply
    7,555.88x = 11,329.98 × 3,449
  4. Step 4: Simplify right side
    7,555.88x = 39,077,101.02
  5. Step 5: Solve for x
    x = 39,077,101.02/7,555.88
  6. Step 6: Final answer
    x = 5,171.75

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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.