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Finding the Fourth Proportional to 5,811.71, 8,022 and 3,715.83

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Solution

The fourth proportional to 5,811.71, 8,022 and 3,715.83 is: 5,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.71 : 8,022 = 3,715.83 : x
  2. Step 2: Convert to fraction form
    5,811.71/8,022 = 3,715.83/x
  3. Step 3: Cross multiply
    5,811.71x = 8,022 × 3,715.83
  4. Step 4: Simplify right side
    5,811.71x = 29,808,388.26
  5. Step 5: Solve for x
    x = 29,808,388.26/5,811.71
  6. Step 6: Final answer
    x = 5,129.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.