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Finding the Fourth Proportional to 16,581.58, 22,878.64 and 9,409.90

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Solution

The fourth proportional to 16,581.58, 22,878.64 and 9,409.90 is: 12,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581.58 : 22,878.64 = 9,409.90 : x
  2. Step 2: Convert to fraction form
    16,581.58/22,878.64 = 9,409.90/x
  3. Step 3: Cross multiply
    16,581.58x = 22,878.64 × 9,409.90
  4. Step 4: Simplify right side
    16,581.58x = 215,285,714.54
  5. Step 5: Solve for x
    x = 215,285,714.54/16,581.58
  6. Step 6: Final answer
    x = 12,983.43

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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.