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Finding the Fourth Proportional to 14,355, 19,811.16 and 8,067.42

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Solution

The fourth proportional to 14,355, 19,811.16 and 8,067.42 is: 11,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,355 : 19,811.16 = 8,067.42 : x
  2. Step 2: Convert to fraction form
    14,355/19,811.16 = 8,067.42/x
  3. Step 3: Cross multiply
    14,355x = 19,811.16 × 8,067.42
  4. Step 4: Simplify right side
    14,355x = 159,824,948.41
  5. Step 5: Solve for x
    x = 159,824,948.41/14,355
  6. Step 6: Final answer
    x = 11,133.75

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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.