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Finding the Fourth Proportional to 27,754.56, 41,631.72 and 6,978

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Solution

The fourth proportional to 27,754.56, 41,631.72 and 6,978 is: 10,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.56 : 41,631.72 = 6,978 : x
  2. Step 2: Convert to fraction form
    27,754.56/41,631.72 = 6,978/x
  3. Step 3: Cross multiply
    27,754.56x = 41,631.72 × 6,978
  4. Step 4: Simplify right side
    27,754.56x = 290,506,142.16
  5. Step 5: Solve for x
    x = 290,506,142.16/27,754.56
  6. Step 6: Final answer
    x = 10,466.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.