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Finding the Fourth Proportional to 19,856.56, 29,787 and 7,375.12

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Solution

The fourth proportional to 19,856.56, 29,787 and 7,375.12 is: 11,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.56 : 29,787 = 7,375.12 : x
  2. Step 2: Convert to fraction form
    19,856.56/29,787 = 7,375.12/x
  3. Step 3: Cross multiply
    19,856.56x = 29,787 × 7,375.12
  4. Step 4: Simplify right side
    19,856.56x = 219,682,699.44
  5. Step 5: Solve for x
    x = 219,682,699.44/19,856.56
  6. Step 6: Final answer
    x = 11,063.48

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1.5x scale

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.