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Finding the Fourth Proportional to 5,755.40, 7,943.86 and 3,770.76

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Solution

The fourth proportional to 5,755.40, 7,943.86 and 3,770.76 is: 5,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.40 : 7,943.86 = 3,770.76 : x
  2. Step 2: Convert to fraction form
    5,755.40/7,943.86 = 3,770.76/x
  3. Step 3: Cross multiply
    5,755.40x = 7,943.86 × 3,770.76
  4. Step 4: Simplify right side
    5,755.40x = 29,954,389.53
  5. Step 5: Solve for x
    x = 29,954,389.53/5,755.40
  6. Step 6: Final answer
    x = 5,204.57

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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.