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Finding the Fourth Proportional to 37,380, 56,071.44 and 12,756

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Solution

The fourth proportional to 37,380, 56,071.44 and 12,756 is: 19,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,380 : 56,071.44 = 12,756 : x
  2. Step 2: Convert to fraction form
    37,380/56,071.44 = 12,756/x
  3. Step 3: Cross multiply
    37,380x = 56,071.44 × 12,756
  4. Step 4: Simplify right side
    37,380x = 715,247,288.64
  5. Step 5: Solve for x
    x = 715,247,288.64/37,380
  6. Step 6: Final answer
    x = 19,134.49

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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.