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Finding the Fourth Proportional to 12,594.75, 17,380.86 and 7,005.75

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Solution

The fourth proportional to 12,594.75, 17,380.86 and 7,005.75 is: 9,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.75 : 17,380.86 = 7,005.75 : x
  2. Step 2: Convert to fraction form
    12,594.75/17,380.86 = 7,005.75/x
  3. Step 3: Cross multiply
    12,594.75x = 17,380.86 × 7,005.75
  4. Step 4: Simplify right side
    12,594.75x = 121,765,933.67
  5. Step 5: Solve for x
    x = 121,765,933.67/12,594.75
  6. Step 6: Final answer
    x = 9,667.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.