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Finding the Fourth Proportional to 14,067, 19,412.82 and 8,478.36

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Solution

The fourth proportional to 14,067, 19,412.82 and 8,478.36 is: 11,700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067 : 19,412.82 = 8,478.36 : x
  2. Step 2: Convert to fraction form
    14,067/19,412.82 = 8,478.36/x
  3. Step 3: Cross multiply
    14,067x = 19,412.82 × 8,478.36
  4. Step 4: Simplify right side
    14,067x = 164,588,876.58
  5. Step 5: Solve for x
    x = 164,588,876.58/14,067
  6. Step 6: Final answer
    x = 11,700.35

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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.