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Finding the Fourth Proportional to 5,687.12, 8,533.16 and 1,992.01

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Solution

The fourth proportional to 5,687.12, 8,533.16 and 1,992.01 is: 2,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.12 : 8,533.16 = 1,992.01 : x
  2. Step 2: Convert to fraction form
    5,687.12/8,533.16 = 1,992.01/x
  3. Step 3: Cross multiply
    5,687.12x = 8,533.16 × 1,992.01
  4. Step 4: Simplify right side
    5,687.12x = 16,998,140.05
  5. Step 5: Solve for x
    x = 16,998,140.05/5,687.12
  6. Step 6: Final answer
    x = 2,988.88

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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.