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Finding the Fourth Proportional to 12,531.68, 18,777.00 and 7,586.33

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Solution

The fourth proportional to 12,531.68, 18,777.00 and 7,586.33 is: 11,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.68 : 18,777.00 = 7,586.33 : x
  2. Step 2: Convert to fraction form
    12,531.68/18,777.00 = 7,586.33/x
  3. Step 3: Cross multiply
    12,531.68x = 18,777.00 × 7,586.33
  4. Step 4: Simplify right side
    12,531.68x = 142,448,452.97
  5. Step 5: Solve for x
    x = 142,448,452.97/12,531.68
  6. Step 6: Final answer
    x = 11,367.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.