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Finding the Fourth Proportional to 5,199.80, 7,798.87 and 1,689.89

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Solution

The fourth proportional to 5,199.80, 7,798.87 and 1,689.89 is: 2,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.80 : 7,798.87 = 1,689.89 : x
  2. Step 2: Convert to fraction form
    5,199.80/7,798.87 = 1,689.89/x
  3. Step 3: Cross multiply
    5,199.80x = 7,798.87 × 1,689.89
  4. Step 4: Simplify right side
    5,199.80x = 13,179,232.42
  5. Step 5: Solve for x
    x = 13,179,232.42/5,199.80
  6. Step 6: Final answer
    x = 2,534.57

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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.