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Finding the Fourth Proportional to 6,504.78, 9,756.95 and 2,755.53

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Solution

The fourth proportional to 6,504.78, 9,756.95 and 2,755.53 is: 4,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.78 : 9,756.95 = 2,755.53 : x
  2. Step 2: Convert to fraction form
    6,504.78/9,756.95 = 2,755.53/x
  3. Step 3: Cross multiply
    6,504.78x = 9,756.95 × 2,755.53
  4. Step 4: Simplify right side
    6,504.78x = 26,885,568.43
  5. Step 5: Solve for x
    x = 26,885,568.43/6,504.78
  6. Step 6: Final answer
    x = 4,133.20

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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.