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Finding the Fourth Proportional to 16,198.10, 22,345.74 and 9,479.61

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Solution

The fourth proportional to 16,198.10, 22,345.74 and 9,479.61 is: 13,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.10 : 22,345.74 = 9,479.61 : x
  2. Step 2: Convert to fraction form
    16,198.10/22,345.74 = 9,479.61/x
  3. Step 3: Cross multiply
    16,198.10x = 22,345.74 × 9,479.61
  4. Step 4: Simplify right side
    16,198.10x = 211,828,900.36
  5. Step 5: Solve for x
    x = 211,828,900.36/16,198.10
  6. Step 6: Final answer
    x = 13,077.39

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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.