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Finding the Fourth Proportional to 37,647, 56,471.58 and 9,945

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Solution

The fourth proportional to 37,647, 56,471.58 and 9,945 is: 14,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,647 : 56,471.58 = 9,945 : x
  2. Step 2: Convert to fraction form
    37,647/56,471.58 = 9,945/x
  3. Step 3: Cross multiply
    37,647x = 56,471.58 × 9,945
  4. Step 4: Simplify right side
    37,647x = 561,609,863.10
  5. Step 5: Solve for x
    x = 561,609,863.10/37,647
  6. Step 6: Final answer
    x = 14,917.79

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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.