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Finding the Fourth Proportional to 5,769.65, 8,651.40 and 2,989.43

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Solution

The fourth proportional to 5,769.65, 8,651.40 and 2,989.43 is: 4,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.65 : 8,651.40 = 2,989.43 : x
  2. Step 2: Convert to fraction form
    5,769.65/8,651.40 = 2,989.43/x
  3. Step 3: Cross multiply
    5,769.65x = 8,651.40 × 2,989.43
  4. Step 4: Simplify right side
    5,769.65x = 25,862,732.68
  5. Step 5: Solve for x
    x = 25,862,732.68/5,769.65
  6. Step 6: Final answer
    x = 4,482.55

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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.