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Finding the Fourth Proportional to 5,699.63, 7,865.26 and 3,181.66

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Solution

The fourth proportional to 5,699.63, 7,865.26 and 3,181.66 is: 4,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.63 : 7,865.26 = 3,181.66 : x
  2. Step 2: Convert to fraction form
    5,699.63/7,865.26 = 3,181.66/x
  3. Step 3: Cross multiply
    5,699.63x = 7,865.26 × 3,181.66
  4. Step 4: Simplify right side
    5,699.63x = 25,024,555.51
  5. Step 5: Solve for x
    x = 25,024,555.51/5,699.63
  6. Step 6: Final answer
    x = 4,390.56

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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.