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Finding the Fourth Proportional to 5,755.61, 7,942.69 and 3,271.61

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Solution

The fourth proportional to 5,755.61, 7,942.69 and 3,271.61 is: 4,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.61 : 7,942.69 = 3,271.61 : x
  2. Step 2: Convert to fraction form
    5,755.61/7,942.69 = 3,271.61/x
  3. Step 3: Cross multiply
    5,755.61x = 7,942.69 × 3,271.61
  4. Step 4: Simplify right side
    5,755.61x = 25,985,384.03
  5. Step 5: Solve for x
    x = 25,985,384.03/5,755.61
  6. Step 6: Final answer
    x = 4,514.79

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1.5x scale

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.