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Finding the Fourth Proportional to 12,766.06, 17,609.97 and 7,459.75

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Solution

The fourth proportional to 12,766.06, 17,609.97 and 7,459.75 is: 10,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.06 : 17,609.97 = 7,459.75 : x
  2. Step 2: Convert to fraction form
    12,766.06/17,609.97 = 7,459.75/x
  3. Step 3: Cross multiply
    12,766.06x = 17,609.97 × 7,459.75
  4. Step 4: Simplify right side
    12,766.06x = 131,365,973.71
  5. Step 5: Solve for x
    x = 131,365,973.71/12,766.06
  6. Step 6: Final answer
    x = 10,290.25

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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.