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Finding the Fourth Proportional to 36,324, 54,486 and 14,436

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Solution

The fourth proportional to 36,324, 54,486 and 14,436 is: 21,654

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,324 : 54,486 = 14,436 : x
  2. Step 2: Convert to fraction form
    36,324/54,486 = 14,436/x
  3. Step 3: Cross multiply
    36,324x = 54,486 × 14,436
  4. Step 4: Simplify right side
    36,324x = 786,559,896
  5. Step 5: Solve for x
    x = 786,559,896/36,324
  6. Step 6: Final answer
    x = 21,654

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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.