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Finding the Fourth Proportional to 5,687.73, 8,532.72 and 1,988.96

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Solution

The fourth proportional to 5,687.73, 8,532.72 and 1,988.96 is: 2,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.73 : 8,532.72 = 1,988.96 : x
  2. Step 2: Convert to fraction form
    5,687.73/8,532.72 = 1,988.96/x
  3. Step 3: Cross multiply
    5,687.73x = 8,532.72 × 1,988.96
  4. Step 4: Simplify right side
    5,687.73x = 16,971,196.11
  5. Step 5: Solve for x
    x = 16,971,196.11/5,687.73
  6. Step 6: Final answer
    x = 2,983.83

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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.