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Finding the Fourth Proportional to 16,686, 23,030.61 and 9,974.64

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Solution

The fourth proportional to 16,686, 23,030.61 and 9,974.64 is: 13,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686 : 23,030.61 = 9,974.64 : x
  2. Step 2: Convert to fraction form
    16,686/23,030.61 = 9,974.64/x
  3. Step 3: Cross multiply
    16,686x = 23,030.61 × 9,974.64
  4. Step 4: Simplify right side
    16,686x = 229,722,043.73
  5. Step 5: Solve for x
    x = 229,722,043.73/16,686
  6. Step 6: Final answer
    x = 13,767.35

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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.