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Finding the Fourth Proportional to 5,570.96, 7,687.62 and 3,180.83

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Solution

The fourth proportional to 5,570.96, 7,687.62 and 3,180.83 is: 4,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.96 : 7,687.62 = 3,180.83 : x
  2. Step 2: Convert to fraction form
    5,570.96/7,687.62 = 3,180.83/x
  3. Step 3: Cross multiply
    5,570.96x = 7,687.62 × 3,180.83
  4. Step 4: Simplify right side
    5,570.96x = 24,453,031.54
  5. Step 5: Solve for x
    x = 24,453,031.54/5,570.96
  6. Step 6: Final answer
    x = 4,389.38

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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.