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Finding the Fourth Proportional to 2,951.73, 4,428.27 and 978

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Solution

The fourth proportional to 2,951.73, 4,428.27 and 978 is: 1,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.73 : 4,428.27 = 978 : x
  2. Step 2: Convert to fraction form
    2,951.73/4,428.27 = 978/x
  3. Step 3: Cross multiply
    2,951.73x = 4,428.27 × 978
  4. Step 4: Simplify right side
    2,951.73x = 4,330,848.06
  5. Step 5: Solve for x
    x = 4,330,848.06/2,951.73
  6. Step 6: Final answer
    x = 1,467.22

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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.