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Finding the Fourth Proportional to 3,455.92, 5,184 and 991.09

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Solution

The fourth proportional to 3,455.92, 5,184 and 991.09 is: 1,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.92 : 5,184 = 991.09 : x
  2. Step 2: Convert to fraction form
    3,455.92/5,184 = 991.09/x
  3. Step 3: Cross multiply
    3,455.92x = 5,184 × 991.09
  4. Step 4: Simplify right side
    3,455.92x = 5,137,787.88
  5. Step 5: Solve for x
    x = 5,137,787.88/3,455.92
  6. Step 6: Final answer
    x = 1,486.66

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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.