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Finding the Fourth Proportional to 5,677.72, 7,835.37 and 3,159.94

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Solution

The fourth proportional to 5,677.72, 7,835.37 and 3,159.94 is: 4,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.72 : 7,835.37 = 3,159.94 : x
  2. Step 2: Convert to fraction form
    5,677.72/7,835.37 = 3,159.94/x
  3. Step 3: Cross multiply
    5,677.72x = 7,835.37 × 3,159.94
  4. Step 4: Simplify right side
    5,677.72x = 24,759,299.08
  5. Step 5: Solve for x
    x = 24,759,299.08/5,677.72
  6. Step 6: Final answer
    x = 4,360.78

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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.