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Finding the Fourth Proportional to 27,731.77, 38,270.82 and 15,796.96

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Solution

The fourth proportional to 27,731.77, 38,270.82 and 15,796.96 is: 21,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,731.77 : 38,270.82 = 15,796.96 : x
  2. Step 2: Convert to fraction form
    27,731.77/38,270.82 = 15,796.96/x
  3. Step 3: Cross multiply
    27,731.77x = 38,270.82 × 15,796.96
  4. Step 4: Simplify right side
    27,731.77x = 604,562,612.71
  5. Step 5: Solve for x
    x = 604,562,612.71/27,731.77
  6. Step 6: Final answer
    x = 21,800.36

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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.