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Finding the Fourth Proportional to 36,311, 54,466.50 and 11,687

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Solution

The fourth proportional to 36,311, 54,466.50 and 11,687 is: 17,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,311 : 54,466.50 = 11,687 : x
  2. Step 2: Convert to fraction form
    36,311/54,466.50 = 11,687/x
  3. Step 3: Cross multiply
    36,311x = 54,466.50 × 11,687
  4. Step 4: Simplify right side
    36,311x = 636,549,985.50
  5. Step 5: Solve for x
    x = 636,549,985.50/36,311
  6. Step 6: Final answer
    x = 17,530.50

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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.