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Finding the Fourth Proportional to 19,828.82, 27,359.28 and 13,456.28

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Solution

The fourth proportional to 19,828.82, 27,359.28 and 13,456.28 is: 18,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.82 : 27,359.28 = 13,456.28 : x
  2. Step 2: Convert to fraction form
    19,828.82/27,359.28 = 13,456.28/x
  3. Step 3: Cross multiply
    19,828.82x = 27,359.28 × 13,456.28
  4. Step 4: Simplify right side
    19,828.82x = 368,154,132.28
  5. Step 5: Solve for x
    x = 368,154,132.28/19,828.82
  6. Step 6: Final answer
    x = 18,566.62

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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.