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Finding the Fourth Proportional to 5,699.07, 7,865.16 and 3,181.98

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Solution

The fourth proportional to 5,699.07, 7,865.16 and 3,181.98 is: 4,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.07 : 7,865.16 = 3,181.98 : x
  2. Step 2: Convert to fraction form
    5,699.07/7,865.16 = 3,181.98/x
  3. Step 3: Cross multiply
    5,699.07x = 7,865.16 × 3,181.98
  4. Step 4: Simplify right side
    5,699.07x = 25,026,781.82
  5. Step 5: Solve for x
    x = 25,026,781.82/5,699.07
  6. Step 6: Final answer
    x = 4,391.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.