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Finding the Fourth Proportional to 12,874.77, 17,758.01 and 11,815.97

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Solution

The fourth proportional to 12,874.77, 17,758.01 and 11,815.97 is: 16,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.77 : 17,758.01 = 11,815.97 : x
  2. Step 2: Convert to fraction form
    12,874.77/17,758.01 = 11,815.97/x
  3. Step 3: Cross multiply
    12,874.77x = 17,758.01 × 11,815.97
  4. Step 4: Simplify right side
    12,874.77x = 209,828,032.14
  5. Step 5: Solve for x
    x = 209,828,032.14/12,874.77
  6. Step 6: Final answer
    x = 16,297.61

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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.