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Finding the Fourth Proportional to 5,199.87, 7,800.82 and 1,689.22

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Solution

The fourth proportional to 5,199.87, 7,800.82 and 1,689.22 is: 2,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.87 : 7,800.82 = 1,689.22 : x
  2. Step 2: Convert to fraction form
    5,199.87/7,800.82 = 1,689.22/x
  3. Step 3: Cross multiply
    5,199.87x = 7,800.82 × 1,689.22
  4. Step 4: Simplify right side
    5,199.87x = 13,177,301.16
  5. Step 5: Solve for x
    x = 13,177,301.16/5,199.87
  6. Step 6: Final answer
    x = 2,534.16

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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.