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Finding the Fourth Proportional to 5,174.92, 7,759.86 and 1,711

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Solution

The fourth proportional to 5,174.92, 7,759.86 and 1,711 is: 2,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.92 : 7,759.86 = 1,711 : x
  2. Step 2: Convert to fraction form
    5,174.92/7,759.86 = 1,711/x
  3. Step 3: Cross multiply
    5,174.92x = 7,759.86 × 1,711
  4. Step 4: Simplify right side
    5,174.92x = 13,277,120.46
  5. Step 5: Solve for x
    x = 13,277,120.46/5,174.92
  6. Step 6: Final answer
    x = 2,565.67

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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.