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Finding the Fourth Proportional to 5,755.50, 7,942.59 and 3,397.68

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Solution

The fourth proportional to 5,755.50, 7,942.59 and 3,397.68 is: 4,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.50 : 7,942.59 = 3,397.68 : x
  2. Step 2: Convert to fraction form
    5,755.50/7,942.59 = 3,397.68/x
  3. Step 3: Cross multiply
    5,755.50x = 7,942.59 × 3,397.68
  4. Step 4: Simplify right side
    5,755.50x = 26,986,379.19
  5. Step 5: Solve for x
    x = 26,986,379.19/5,755.50
  6. Step 6: Final answer
    x = 4,688.80

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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.