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Finding the Fourth Proportional to 36,400, 54,600 and 11,776

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Solution

The fourth proportional to 36,400, 54,600 and 11,776 is: 17,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,400 : 54,600 = 11,776 : x
  2. Step 2: Convert to fraction form
    36,400/54,600 = 11,776/x
  3. Step 3: Cross multiply
    36,400x = 54,600 × 11,776
  4. Step 4: Simplify right side
    36,400x = 642,969,600
  5. Step 5: Solve for x
    x = 642,969,600/36,400
  6. Step 6: Final answer
    x = 17,664

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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.