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Finding the Fourth Proportional to 37,600, 56,400 and 12,976

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Solution

The fourth proportional to 37,600, 56,400 and 12,976 is: 19,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,600 : 56,400 = 12,976 : x
  2. Step 2: Convert to fraction form
    37,600/56,400 = 12,976/x
  3. Step 3: Cross multiply
    37,600x = 56,400 × 12,976
  4. Step 4: Simplify right side
    37,600x = 731,846,400
  5. Step 5: Solve for x
    x = 731,846,400/37,600
  6. Step 6: Final answer
    x = 19,464

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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.