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Finding the Fourth Proportional to 2,809.78, 4,214.88 and 1,078.41

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Solution

The fourth proportional to 2,809.78, 4,214.88 and 1,078.41 is: 1,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.78 : 4,214.88 = 1,078.41 : x
  2. Step 2: Convert to fraction form
    2,809.78/4,214.88 = 1,078.41/x
  3. Step 3: Cross multiply
    2,809.78x = 4,214.88 × 1,078.41
  4. Step 4: Simplify right side
    2,809.78x = 4,545,348.89
  5. Step 5: Solve for x
    x = 4,545,348.89/2,809.78
  6. Step 6: Final answer
    x = 1,617.69

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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.