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Finding the Fourth Proportional to 23,036.28, 31,788 and 12,965.52

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Solution

The fourth proportional to 23,036.28, 31,788 and 12,965.52 is: 17,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036.28 : 31,788 = 12,965.52 : x
  2. Step 2: Convert to fraction form
    23,036.28/31,788 = 12,965.52/x
  3. Step 3: Cross multiply
    23,036.28x = 31,788 × 12,965.52
  4. Step 4: Simplify right side
    23,036.28x = 412,147,949.76
  5. Step 5: Solve for x
    x = 412,147,949.76/23,036.28
  6. Step 6: Final answer
    x = 17,891.25

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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.