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Finding the Fourth Proportional to 5,170.43, 7,751.86 and 1,658.44

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Solution

The fourth proportional to 5,170.43, 7,751.86 and 1,658.44 is: 2,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.43 : 7,751.86 = 1,658.44 : x
  2. Step 2: Convert to fraction form
    5,170.43/7,751.86 = 1,658.44/x
  3. Step 3: Cross multiply
    5,170.43x = 7,751.86 × 1,658.44
  4. Step 4: Simplify right side
    5,170.43x = 12,855,955.94
  5. Step 5: Solve for x
    x = 12,855,955.94/5,170.43
  6. Step 6: Final answer
    x = 2,486.44

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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.