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Finding the Fourth Proportional to 6,511, 8,992.48 and 4,411.48

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Solution

The fourth proportional to 6,511, 8,992.48 and 4,411.48 is: 6,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511 : 8,992.48 = 4,411.48 : x
  2. Step 2: Convert to fraction form
    6,511/8,992.48 = 4,411.48/x
  3. Step 3: Cross multiply
    6,511x = 8,992.48 × 4,411.48
  4. Step 4: Simplify right side
    6,511x = 39,670,145.67
  5. Step 5: Solve for x
    x = 39,670,145.67/6,511
  6. Step 6: Final answer
    x = 6,092.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.