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Finding the Fourth Proportional to 5,811, 8,711 and 4,772.16

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Solution

The fourth proportional to 5,811, 8,711 and 4,772.16 is: 7,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811 : 8,711 = 4,772.16 : x
  2. Step 2: Convert to fraction form
    5,811/8,711 = 4,772.16/x
  3. Step 3: Cross multiply
    5,811x = 8,711 × 4,772.16
  4. Step 4: Simplify right side
    5,811x = 41,570,285.76
  5. Step 5: Solve for x
    x = 41,570,285.76/5,811
  6. Step 6: Final answer
    x = 7,153.72

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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.