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Finding the Fourth Proportional to 11,436, 15,782.16 and 6,468

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Solution

The fourth proportional to 11,436, 15,782.16 and 6,468 is: 8,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436 : 15,782.16 = 6,468 : x
  2. Step 2: Convert to fraction form
    11,436/15,782.16 = 6,468/x
  3. Step 3: Cross multiply
    11,436x = 15,782.16 × 6,468
  4. Step 4: Simplify right side
    11,436x = 102,079,010.88
  5. Step 5: Solve for x
    x = 102,079,010.88/11,436
  6. Step 6: Final answer
    x = 8,926.11

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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.