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Finding the Fourth Proportional to 14,305.75, 19,743.15 and 8,019.34

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Solution

The fourth proportional to 14,305.75, 19,743.15 and 8,019.34 is: 11,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.75 : 19,743.15 = 8,019.34 : x
  2. Step 2: Convert to fraction form
    14,305.75/19,743.15 = 8,019.34/x
  3. Step 3: Cross multiply
    14,305.75x = 19,743.15 × 8,019.34
  4. Step 4: Simplify right side
    14,305.75x = 158,327,032.52
  5. Step 5: Solve for x
    x = 158,327,032.52/14,305.75
  6. Step 6: Final answer
    x = 11,067.37

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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.