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Finding the Fourth Proportional to 4,563.78, 6,839.18 and 2,256.90

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Solution

The fourth proportional to 4,563.78, 6,839.18 and 2,256.90 is: 3,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.78 : 6,839.18 = 2,256.90 : x
  2. Step 2: Convert to fraction form
    4,563.78/6,839.18 = 2,256.90/x
  3. Step 3: Cross multiply
    4,563.78x = 6,839.18 × 2,256.90
  4. Step 4: Simplify right side
    4,563.78x = 15,435,345.34
  5. Step 5: Solve for x
    x = 15,435,345.34/4,563.78
  6. Step 6: Final answer
    x = 3,382.14

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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.