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Finding the Fourth Proportional to 37,976, 56,962.28 and 11,679.60

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Solution

The fourth proportional to 37,976, 56,962.28 and 11,679.60 is: 17,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,976 : 56,962.28 = 11,679.60 : x
  2. Step 2: Convert to fraction form
    37,976/56,962.28 = 11,679.60/x
  3. Step 3: Cross multiply
    37,976x = 56,962.28 × 11,679.60
  4. Step 4: Simplify right side
    37,976x = 665,296,645.49
  5. Step 5: Solve for x
    x = 665,296,645.49/37,976
  6. Step 6: Final answer
    x = 17,518.87

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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.