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Finding the Fourth Proportional to 11,511, 15,885.18 and 6,543

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Solution

The fourth proportional to 11,511, 15,885.18 and 6,543 is: 9,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511 : 15,885.18 = 6,543 : x
  2. Step 2: Convert to fraction form
    11,511/15,885.18 = 6,543/x
  3. Step 3: Cross multiply
    11,511x = 15,885.18 × 6,543
  4. Step 4: Simplify right side
    11,511x = 103,936,732.74
  5. Step 5: Solve for x
    x = 103,936,732.74/11,511
  6. Step 6: Final answer
    x = 9,029.34

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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.