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Finding the Fourth Proportional to 13,714.92, 18,924.36 and 7,745.22

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Solution

The fourth proportional to 13,714.92, 18,924.36 and 7,745.22 is: 10,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.92 : 18,924.36 = 7,745.22 : x
  2. Step 2: Convert to fraction form
    13,714.92/18,924.36 = 7,745.22/x
  3. Step 3: Cross multiply
    13,714.92x = 18,924.36 × 7,745.22
  4. Step 4: Simplify right side
    13,714.92x = 146,573,331.56
  5. Step 5: Solve for x
    x = 146,573,331.56/13,714.92
  6. Step 6: Final answer
    x = 10,687.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.