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Finding the Fourth Proportional to 36,354, 54,531 and 11,730

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Solution

The fourth proportional to 36,354, 54,531 and 11,730 is: 17,595

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,354 : 54,531 = 11,730 : x
  2. Step 2: Convert to fraction form
    36,354/54,531 = 11,730/x
  3. Step 3: Cross multiply
    36,354x = 54,531 × 11,730
  4. Step 4: Simplify right side
    36,354x = 639,648,630
  5. Step 5: Solve for x
    x = 639,648,630/36,354
  6. Step 6: Final answer
    x = 17,595

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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.