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Finding the Fourth Proportional to 5,170.70, 7,755.64 and 1,659.77

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Solution

The fourth proportional to 5,170.70, 7,755.64 and 1,659.77 is: 2,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.70 : 7,755.64 = 1,659.77 : x
  2. Step 2: Convert to fraction form
    5,170.70/7,755.64 = 1,659.77/x
  3. Step 3: Cross multiply
    5,170.70x = 7,755.64 × 1,659.77
  4. Step 4: Simplify right side
    5,170.70x = 12,872,564.76
  5. Step 5: Solve for x
    x = 12,872,564.76/5,170.70
  6. Step 6: Final answer
    x = 2,489.52

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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.