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Finding the Fourth Proportional to 5,749.92, 7,924.68 and 4,951.20

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Solution

The fourth proportional to 5,749.92, 7,924.68 and 4,951.20 is: 6,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.92 : 7,924.68 = 4,951.20 : x
  2. Step 2: Convert to fraction form
    5,749.92/7,924.68 = 4,951.20/x
  3. Step 3: Cross multiply
    5,749.92x = 7,924.68 × 4,951.20
  4. Step 4: Simplify right side
    5,749.92x = 39,236,675.62
  5. Step 5: Solve for x
    x = 39,236,675.62/5,749.92
  6. Step 6: Final answer
    x = 6,823.86

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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.