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Finding the Fourth Proportional to 5,689.77, 8,538.50 and 1,992.03

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Solution

The fourth proportional to 5,689.77, 8,538.50 and 1,992.03 is: 2,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.77 : 8,538.50 = 1,992.03 : x
  2. Step 2: Convert to fraction form
    5,689.77/8,538.50 = 1,992.03/x
  3. Step 3: Cross multiply
    5,689.77x = 8,538.50 × 1,992.03
  4. Step 4: Simplify right side
    5,689.77x = 17,008,948.16
  5. Step 5: Solve for x
    x = 17,008,948.16/5,689.77
  6. Step 6: Final answer
    x = 2,989.39

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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.