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Finding the Fourth Proportional to 36,570, 54,855 and 11,946

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Solution

The fourth proportional to 36,570, 54,855 and 11,946 is: 17,919

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,570 : 54,855 = 11,946 : x
  2. Step 2: Convert to fraction form
    36,570/54,855 = 11,946/x
  3. Step 3: Cross multiply
    36,570x = 54,855 × 11,946
  4. Step 4: Simplify right side
    36,570x = 655,297,830
  5. Step 5: Solve for x
    x = 655,297,830/36,570
  6. Step 6: Final answer
    x = 17,919

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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.