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Finding the Fourth Proportional to 27,970.14, 38,598.42 and 20,832

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Solution

The fourth proportional to 27,970.14, 38,598.42 and 20,832 is: 28,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.14 : 38,598.42 = 20,832 : x
  2. Step 2: Convert to fraction form
    27,970.14/38,598.42 = 20,832/x
  3. Step 3: Cross multiply
    27,970.14x = 38,598.42 × 20,832
  4. Step 4: Simplify right side
    27,970.14x = 804,082,285.44
  5. Step 5: Solve for x
    x = 804,082,285.44/27,970.14
  6. Step 6: Final answer
    x = 28,747.88

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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.