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Finding the Fourth Proportional to 36,980, 55,470 and 12,356

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Solution

The fourth proportional to 36,980, 55,470 and 12,356 is: 18,534

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,980 : 55,470 = 12,356 : x
  2. Step 2: Convert to fraction form
    36,980/55,470 = 12,356/x
  3. Step 3: Cross multiply
    36,980x = 55,470 × 12,356
  4. Step 4: Simplify right side
    36,980x = 685,387,320
  5. Step 5: Solve for x
    x = 685,387,320/36,980
  6. Step 6: Final answer
    x = 18,534

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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.