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Finding the Fourth Proportional to 16,478.10, 22,739.81 and 8,924.45

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Solution

The fourth proportional to 16,478.10, 22,739.81 and 8,924.45 is: 12,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.10 : 22,739.81 = 8,924.45 : x
  2. Step 2: Convert to fraction form
    16,478.10/22,739.81 = 8,924.45/x
  3. Step 3: Cross multiply
    16,478.10x = 22,739.81 × 8,924.45
  4. Step 4: Simplify right side
    16,478.10x = 202,940,297.35
  5. Step 5: Solve for x
    x = 202,940,297.35/16,478.10
  6. Step 6: Final answer
    x = 12,315.76

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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.