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Finding the Fourth Proportional to 5,211.92, 7,817.79 and 1,749.17

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Solution

The fourth proportional to 5,211.92, 7,817.79 and 1,749.17 is: 2,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.92 : 7,817.79 = 1,749.17 : x
  2. Step 2: Convert to fraction form
    5,211.92/7,817.79 = 1,749.17/x
  3. Step 3: Cross multiply
    5,211.92x = 7,817.79 × 1,749.17
  4. Step 4: Simplify right side
    5,211.92x = 13,674,643.73
  5. Step 5: Solve for x
    x = 13,674,643.73/5,211.92
  6. Step 6: Final answer
    x = 2,623.72

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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.