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Finding the Fourth Proportional to 14,067, 21,097.62 and 7,137.72

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Solution

The fourth proportional to 14,067, 21,097.62 and 7,137.72 is: 10,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067 : 21,097.62 = 7,137.72 : x
  2. Step 2: Convert to fraction form
    14,067/21,097.62 = 7,137.72/x
  3. Step 3: Cross multiply
    14,067x = 21,097.62 × 7,137.72
  4. Step 4: Simplify right side
    14,067x = 150,588,904.23
  5. Step 5: Solve for x
    x = 150,588,904.23/14,067
  6. Step 6: Final answer
    x = 10,705.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.