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Finding the Fourth Proportional to 23,057.68, 31,819.26 and 12,986.14

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Solution

The fourth proportional to 23,057.68, 31,819.26 and 12,986.14 is: 17,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.68 : 31,819.26 = 12,986.14 : x
  2. Step 2: Convert to fraction form
    23,057.68/31,819.26 = 12,986.14/x
  3. Step 3: Cross multiply
    23,057.68x = 31,819.26 × 12,986.14
  4. Step 4: Simplify right side
    23,057.68x = 413,209,365.06
  5. Step 5: Solve for x
    x = 413,209,365.06/23,057.68
  6. Step 6: Final answer
    x = 17,920.68

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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.