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Finding the Fourth Proportional to 5,811.64, 8,020.11 and 3,159.05

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Solution

The fourth proportional to 5,811.64, 8,020.11 and 3,159.05 is: 4,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.64 : 8,020.11 = 3,159.05 : x
  2. Step 2: Convert to fraction form
    5,811.64/8,020.11 = 3,159.05/x
  3. Step 3: Cross multiply
    5,811.64x = 8,020.11 × 3,159.05
  4. Step 4: Simplify right side
    5,811.64x = 25,335,888.39
  5. Step 5: Solve for x
    x = 25,335,888.39/5,811.64
  6. Step 6: Final answer
    x = 4,359.51

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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.