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Finding the Fourth Proportional to 5,755.15, 7,942.14 and 3,398.45

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Solution

The fourth proportional to 5,755.15, 7,942.14 and 3,398.45 is: 4,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.15 : 7,942.14 = 3,398.45 : x
  2. Step 2: Convert to fraction form
    5,755.15/7,942.14 = 3,398.45/x
  3. Step 3: Cross multiply
    5,755.15x = 7,942.14 × 3,398.45
  4. Step 4: Simplify right side
    5,755.15x = 26,990,948.69
  5. Step 5: Solve for x
    x = 26,990,948.69/5,755.15
  6. Step 6: Final answer
    x = 4,689.88

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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.