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Finding the Fourth Proportional to 5,471.07, 8,210.54 and 3,711.69

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Solution

The fourth proportional to 5,471.07, 8,210.54 and 3,711.69 is: 5,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.07 : 8,210.54 = 3,711.69 : x
  2. Step 2: Convert to fraction form
    5,471.07/8,210.54 = 3,711.69/x
  3. Step 3: Cross multiply
    5,471.07x = 8,210.54 × 3,711.69
  4. Step 4: Simplify right side
    5,471.07x = 30,474,960.65
  5. Step 5: Solve for x
    x = 30,474,960.65/5,471.07
  6. Step 6: Final answer
    x = 5,570.20

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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.